Bartleby Sitemap - Textbook Solutions
All Textbook Solutions for Elementary Algebra
In the following exercises, solve each equation with fraction coefficients. 592. 3x25=3x+48In the following exercises, solve each equation with fraction coefficients. 593. 5y13+4=8y+46In the following exercises, solve each equation with decimal coefficients. 594. 0.8x0.3=0.7x+0.2In the following exercises, solve each equation with decimal coefficients. 595. 0.36u+2.55=0.41u+6.8In the following exercises, solve each equation with decimal coefficients. 596. 0.6p1.9=0.78p+1.7In the following exercises, solve each equation with decimal coefficients. 597. 0.6p1.9=0.78p+1.7In the following exercises, solve. 598. Natalie drove for 712 hours at 60 miles per hour. How much distance did she travel?In the following exercises, solve. 599. Mallory is taking the bus from St. Louis to Chicago. The distance is 300 miles and the bus travels at a steady rate of 60 miles per hour. How long will the bus ride be?In the following exercises, solve. 600. Aaron’s friend drove him from Buffalo to Cleveland. The distance is 187 miles and the trip took 2.75 hours. How fast was Aaron’s friend driving?In the following exercises, solve. 601. Link rode his bike at a steady rate of 15 miles per hour for 212 hours. How much distance did he travel?In the following exercises, solve. 602. Use the formula. d=rt to solve for t (a) when d=510 and r=60 (b) in generalIn the following exercises, solve. 603. Use the formula. d=rt to solve for r (a)whenwhend=451 and t=5.5 (b) in generalIn the following exercises, solve. 604. Use the formula A=12bh to solve for b (a) when A=390 and h=26 (b) in generalIn the following exercises, solve. 605. Use the formula A=12bh to solve for h (a) when A=153 and b=18 (b) in generalIn the following exercises, solve. 606. Use the formula I=Prt to solve for the principal, P for (a) I=2,501,r=4.1,t=5 years (b) in generalIn the following exercises, solve. 607. Solve the formula â 4x+3y=6 for y (a) when x=2 (b) in generalIn the following exercises, solve. 608. Solve 180=a+b+c for c.In the following exercises, solve. 609. Solve the formula V=LWH for H.In the following exercises, graph each inequality on the number line. 610. (a) x4 (b) x2 (c) x1In the following exercises, graph each inequality on the number line. 611. (a) x0 (b) x3 (c) x1In the following exercises, graph each inequality on the number line and write in interval notation 612. (a) x1 (b) x2.5 (c) x54In the following exercises, graph each inequality on the number line and write in interval notation 613. (a) x2 (b) x1.5 (c) x53In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 614. n1223In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 615. m+1456In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 616. a+23712In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 617. b7812In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 618. 9x54In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 619. 12d108In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 620. 52j60In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 621. q224In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 622. 6p15p30In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 623. 9h7(h1)4h23In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 624. 5n15(4n)10(n6)+10nIn the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 625. 38a112a512a+34In the following exercises, translate and solve. Then write the solution in interval notation and graph on the number line 626. Five more than z is at most 19.In the following exercises, translate and solve. Then write the solution in interval notation and graph on the number line 627. Three less than c is at least 360.In the following exercises, translate and solve. Then write the solution in interval notation and graph on the number line 628. Nine times n exceeds 42.In the following exercises, translate and solve. Then write the solution in interval notation and graph on the number line 629. Negative two times a is no more than 8.Describe how you have used two topics from this chapter in your life outside of your math class during the past month.Determine whether each number is a solution to the equation 6x3=x+20 . (a) 5 (b) 235In the following exercises, solve each equation. 632. n23=14In the following exercises, solve each equation. 633. 92c=144In the following exercises, solve each equation. 634. 4y8=16In the following exercises, solve each equation. 635. 8x15+9x1=21In the following exercises, solve each equation. 636. 15a=120In the following exercises, solve each equation. 637. 23x=6In the following exercises, solve each equation. 638. x3.8=8.2In the following exercises, solve each equation. 639. 10y=5y60In the following exercises, solve each equation. 640. 8n2=6n12In the following exercises, solve each equation. 641. 9m24mm=428In the following exercises, solve each equation. 642. 5(2x1)=45In the following exercises, solve each equation. 643. (d9)=23In the following exercises, solve each equation. 644. 14(12m28)=62(3m1)In the following exercises, solve each equation. 645. 2(6x5)8=22In the following exercises, solve each equation. 646. 8(3a5)7(4a3)=203aIn the following exercises, solve each equation. 647. 14p13=12In the following exercises, solve each equation. 648. 0.1d+0.25(d+8)=4.1In the following exercises, solve each equation. 649. 14n3(4n+5)=9+2(n8)In the following exercises, solve each equation. 650. 9(3u2)4[68(u1)]=3(u2)In the following exercises, solve each equation. 651.Solve the formula x2y=5 for y (a) when x=3 (b) in generalIn the following exercises, graph on the number line and write in interval notation. 652. x3.5In the following exercises, graph on the number line and write in interval notation. 653. x114In the following exercises,, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 654. 8k5k120In the following exercises,, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 655. 3c10(c2)5c+16In the following exercises, translate to an equation or inequality and solve. 656. 4 less than twice x is 16.In the following exercises, translate to an equation or inequality and solve. 657. Fifteen more than n is at least 48.In the following exercises, translate to an equation or inequality and solve. 658. Samuel paid $25.82 for gas this week, which was $3.47 less than he paid last week. How much had he paid last week?In the following exercises, translate to an equation or inequality and solve. 659. Jenna bought a coat on sale for $120, which was 23 of the original price. What was the original price of the coat?In the following exercises, translate to an equation or inequality and solve. 660. Sean took the bus from Seattle to Boise, a distance of 506 miles. If the trip took 723 hours, what was the speed of the bus?Joaquin bought a bookcase on sale for $120, which was two-thirds of the original price. What was the original price of the bookcase?Two-fifths of the songs in Mariel’s playlist are country. If there are 16 country songs, what is the total number of songs in the playlist?Guillermo bought textbooks and notebooks at the bookstore. The number of textbooks was 3 more than twice the number of notebooks. He bought 7 textbooks. How many notebooks did he buy?Gerry worked Sudoku puzzles and crossword puzzles this week. The number of Sudoku puzzles he completed is eight more than twice the number of crossword puzzles. He completed 22 Sudoku puzzles. How many crossword puzzles did he do?The difference of a number and eight is 17. Find the number.The difference of a number and eleven is 7 . Find the number.The sum of four times a number and two is 14. Find the number.The sum of three times a number and seven is 25. Find the number.One number is six more than another. The sum of the numbers is twenty-four. Find the numbers.The sum of two numbers is fifty-eight. One number is four more than the other. Find the numbers.The sum of two numbers is negative twenty-three. One number is seven less than the other. Find the numbers.The sum of two numbers is 18 . One number is 40 more than the other. Find the numbers.One number is eight more than twice another. Their sum is negative four. Find the numbers.One number is three more than three times another. Their sum is 5 . Find the numbers.The sum of two consecutive integers is 95. Find the numbers.The sum of two consecutive integers is 31 . Find the numbers.Find three consecutive integers whose sum is 96 .Find three consecutive integers whose sum is 36 .Find three consecutive even integers whose sum is 102.Find three consecutive even integers whose sum is 24 .According to the National Automobile Dealers Association, the average cost of a car in 2014 was $28,500. This was $1,500 less than 6 times the cost in 1975. What was the average cost of a car in 1975?U.S. Census data shows that the median price of new home in the United States in November 2014 was $280,900. This was $10,700 more than 14 times the price in November 1964. What was the median price of a new home in November 1964?In the following exercises, prepare the lists described. 1. List five positive thoughts you can say to yourself that will help you approach word problems with a positive attitude. You may want to copy them on a sheet of paper and put it in the front of your notebook, where you can read them often.In the following exercises, prepare the lists described. 2. List five negative thoughts that you have said to yourself in the past that will hinder your progress on word problems. You may want to write each one on a small piece of paper and rip it up to symbolically destroy the negative thoughts.In the following exercises, solve using the problem solving strategy for word problems. Remember to write a complete sentence to answer each question. 3. Two-thirds of the children in the fourth-grade class are girls. If there are 20 girls, what is the total number of children in the class?In the following exercises, solve using the problem solving strategy for word problems. Remember to write a complete sentence to answer each question. 4. Three-fifths of the members of the school choir are women. If there are 24 women, what is the total number of choir members?In the following exercises, solve using the problem solving strategy for word problems. Remember to write a complete sentence to answer each question. 5. Zachary has 25 country music CDs, which is one-fifth of his CD collection. How many CDs does Zachary have?In the following exercises, solve using the problem solving strategy for word problems. Remember to write a complete sentence to answer each question. 6. One-fourth of the candies in a bag of M&M’s are red. If there are 23 red candies, how many candies are in the bag?In the following exercises, solve using the problem solving strategy for word problems. Remember to write a complete sentence to answer each question. 7. There are 16 girls in a school club. The number of girls is four more than twice the number of boys. Find the number of boys.In the following exercises, solve using the problem solving strategy for word problems. Remember to write a complete sentence to answer each question. 8. There are 18 Cub Scouts in Pack 645. The number of scouts is three more than five times the number of adult leaders. Find the number of adult leaders.In the following exercises, solve using the problem solving strategy for word problems. Remember to write a complete sentence to answer each question. 9. Huong is organizing paperback and hardback books for her club’s used book sale. The number of paperbacks is 12 less than three times the number of hardbacks. Huong had 162 paperbacks. How many hardback books were there?In the following exercises, solve using the problem solving strategy for word problems. Remember to write a complete sentence to answer each question. 10. Jeff is lining up children’s and adult bicycles at the bike shop where he works. The number of children’s bicycles is nine less than three times the number of adult bicycles. There are 42 adult bicycles. How many children’s bicycles are there?In the following exercises, solve using the problem solving strategy for word problems. Remember to write a complete sentence to answer each question. 11. Philip pays $1,620 in rent every month. This amount is $120 more than twice what his brother Paul pays for rent. How much does Paul pay for rent?In the following exercises, solve using the problem solving strategy for word problems. Remember to write a complete sentence to answer each question. 12. Marc just bought an SUV for $54,000. This is $7,400 less than twice what his wife paid for her car last year. How much did his wife pay for her car?In the following exercises, solve using the problem solving strategy for word problems. Remember to write a complete sentence to answer each question. 13. Laurie has $46,000 invested in stocks and bonds. The amount invested in stocks is $8,000 less than three times the amount invested in bonds. How much does Laurie have invested in bonds?In the following exercises, solve using the problem solving strategy for word problems. Remember to write a complete sentence to answer each question. 14. Erica earned a total of $50,450 last year from her two jobs. The amount she earned from her job at the store was $1,250 more than three times the amount she earned from her job at the college. How much did she earn from her job at the college?In the following exercises, solve each number word problem. 15. The sum of a number and eight is 12. Find the number.In the following exercises, solve each number word problem. 16. The sum of a number and nine is 17. Find the number.In the following exercises, solve each number word problem. 17. The difference of a number and 12 is three. Find the number.In the following exercises, solve each number word problem. 18. The difference of a number and eight is four. Find the number.In the following exercises, solve each number word problem. 19. The sum of three times a number and eight is 23. Find the number.In the following exercises, solve each number word problem. 20. The sum of twice a number and six is 14. Find the number.In the following exercises, solve each number word problem. 21. The difference of twice a number and seven is 17. Find the number.In the following exercises, solve each number word problem. 22. The difference of four times a number and seven is 21. Find the number.In the following exercises, solve each number word problem. 23. Three times the sum of a number and nine is 12. Find the number.In the following exercises, solve each number word problem. 24. Six times the sum of a number and eight is 30. Find the number.In the following exercises, solve each number word problem. 25. One number is six more than the other. Their sum is 42. Find the numbers.In the following exercises, solve each number word problem. 26. One number is five more than the other. Their sum is 33. Find the numbers.In the following exercises, solve each number word problem. 27. The sum of two numbers is 20. One number is four less than the other. Find the numbers.In the following exercises, solve each number word problem. 28. The sum of two numbers is 27. One number is seven less than the other. Find the numbers.In the following exercises, solve each number word problem. 29. The sum of two numbers is 45 . One number is nine more than the other. Find the numbers.In the following exercises, solve each number word problem. 30. The sum of two numbers is 61 . One number is 35 more than the other. Find the numbers.In the following exercises, solve each number word problem. 31. The sum of two numbers is 316 . One number is 94 less than the other. Find the numbers.In the following exercises, solve each number word problem. 32. The sum of two numbers is 284 . One number is 62 less than the other. Find the numbers.In the following exercises, solve each number word problem. 33. One number is 14 less than another. If their sum is increased by seven, the result is 85. Find the numbers.In the following exercises, solve each number word problem. 34. One number is 11 less than another. If their sum is increased by eight, the result is 71. Find the numbers.In the following exercises, solve each number word problem. 35. One number is five more than another. If their sum is increased by nine, the result is 60. Find the numbers.In the following exercises, solve each number word problem. 36. One number is eight more than another. If their sum is increased by 17, the result is 95. Find the numbers.In the following exercises, solve each number word problem. 37. One number is one more than twice another. Their sum is 5 . Find the numbers.In the following exercises, solve each number word problem. 38. One number is six more than five times another. Their sum is six. Find the numbers.In the following exercises, solve each number word problem. 39. The sum of two numbers is 14. One number is two less than three times the other. Find the numbers.In the following exercises, solve each number word problem. 40. The sum of two numbers is zero. One number is nine less than twice the other. Find the numbers.In the following exercises, solve each number word problem. 41. The sum of two consecutive integers is 77. Find the integers.In the following exercises, solve each number word problem. 42. The sum of two consecutive integers is 89. Find the integers.In the following exercises, solve each number word problem. 43. The sum of two consecutive integers is 23 . Find the integers.In the following exercises, solve each number word problem. 44. The sum of two consecutive integers is 37 . Find the integers.In the following exercises, solve each number word problem. 45. The sum of three consecutive integers is 78. Find the integers.In the following exercises, solve each number word problem. 46. The sum of three consecutive integers is 60. Find the integers.In the following exercises, solve each number word problem. 47. Find three consecutive integers whose sum is 36 .In the following exercises, solve each number word problem. 48. Find three consecutive integers whose sum is 3 .In the following exercises, solve each number word problem. 49. Find three consecutive even integers whose sum is 258.In the following exercises, solve each number word problem. 50. Find three consecutive even integers whose sum is 222.In the following exercises, solve each number word problem. 51. Find three consecutive odd integers whose sum is 171.In the following exercises, solve each number word problem. 52. Find three consecutive odd integers whose sum is 291.In the following exercises, solve each number word problem. 53. Find three consecutive even integers whose sum is 36 .In the following exercises, solve each number word problem. 54. Find three consecutive even integers whose sum is 84 .In the following exercises, solve each number word problem. 55. Find three consecutive odd integers whose sum is 213 .In the following exercises, solve each number word problem. 56. Find three consecutive odd integers whose sum is 267 .Sale Price Patty paid $35 for a purse on sale for $10 off the original price. What was the original price of the purse?Sale Price Travis bought a pair of boots on sale for $25 off the original price. He paid $60 for the boots. What was the original price of the boots?Buying in Bulk Minh spent $6.25 on five sticker books to give his nephews. Find the cost of each sticker book.Buying in Bulk Alicia bought a package of eight peaches for $3.20. Find the cost of each peach.Price before Sales Tax Tom paid $1,166.40 for a new refrigerator, including $86.40 tax. What was the price of the refrigerator?Price before Sales Tax Kenji paid $2,279 for a new living room set, including $129 tax. What was the price of the living room set?What has been your past experience solving word problems?When you start to solve a word problem, how do you decide what to let the variable represent?What are consecutive odd integers? Name three consecutive odd integers between 50 and 60.What are consecutive even integers? Name three consecutive even integers between 50 and 40 .Translate and solve: What number is 45% of 80?Translate and solve: What number is 55% of 60?Translate and solve: 7.5% of what number is $1.95?Translate and solve: 8.5% of what number is $3.06?Translate and solve: 110 is what percent of 88?Translate and solve: 126 is what percent of 72?Cierra and her sister enjoyed a dinner in a restaurant and the bill was $81.50. If she wants to leave 18% of the totalbill as her tip, how much should she leave?Kimngoc had lunch at her favorite restaurant. She wants to leave 15% of the total bill as her tip. If her bill was $14.40, how much will she leave for the tip?One serving of wheat square cereal has seven grams of fiber, which is 28% of the recommended daily amount.What is the total recommended daily amount of fiber?One serving of rice cereal has 190 mg of sodium, which is 8% of the recommended daily amount. What is the totalrecommended daily amount of sodium?Solve. Round to the nearest whole percent. Veronica is planning to make muffins from a mix. The package says each muffin will be 230 calories and 60 calorieswill be from fat. What percent of the total calories is from fat?Solve. Round to the nearest whole percent. The mix Ricardo plans to use to make brownies says that each brownie will be 190 calories, and 76 calories arefrom fat. What percent of the total calories are from fat?Find the percent increase. (Round to the nearest tenth of a percent.) In 2011, the IRS increased the deductible mileage cost to 55.5 cents from 51 cents.Find the percent increase. In 1995, the standard bus fare in Chicago was $1.50. In 2008, the standard bus fare was $2.25.Find the percent decrease. (Round to the nearest tenth of a percent.) The population of North Dakota was about 672,000 in 2010. The population is projected to be about 630,000 in2020.Find the percent decrease. Last year, Sheila’s salary was $42,000. Because of furlough days, this year, her salary was $37,800.Areli invested a principal of $950 in her bank account with interest rate 3%. How much interest did she earn in 5years?Susana invested a principal of $36,000 in her bank account with interest rate 6.5%. How much interest did she earn in 3 years?Jim loaned his sister $5,000 to help her buy a house. In 3 years, she paid him the $5,000, plus $900 interest. What was the rate of interest?Hang borrowed $7,500 from her parents to pay her tuition. In 5 years, she paid them $1,500 interest in addition tothe $7,500 she borrowed. What was the rate of interest?Sean’s new car loan statement said he would pay $4,866.25 in interest from an interest rate of 8.5% over 5 years.How much did he borrow to buy his new car?In 5 years, Gloria’s bank account earned $2,400 interest at 5%. How much had she deposited in the account?Find (a) the amount of discount and (b) the sale price: Sergio bought a belt that was discounted 40% from an original price of $29.Find (a) the amount of discount and (b) the sale price: Oscar bought a barbecue that was discounted 65% from an original price of $395.Find (a) the amount of discount and (b) the discount rate. Lena bought a kitchen table at the sale price of $375.20. The original price of the table was $560.Find (a) the amount of discount and (b) the discount rate. Nick bought a multi-room air conditioner at a sale price of $340. The original price of the air conditioner was $400.Find (a) the amount of mark-up and (b) the list price. Jim’s music store bought a guitar at original cost $1,200. Jim marked the price up 50%.Find (a) the amount of mark-up and (b) the list price. The Auto Resale Store bought Pablo’s Toyota for $8,500. They marked the price up 35%.In the following exercises, translate and solve. 67. What number is 45% of 120?In the following exercises, translate and solve. 68. What number is 65% of 100?In the following exercises, translate and solve. 69. What number is 24% of 112?In the following exercises, translate and solve. 70. What number is 36% of 124?In the following exercises, translate and solve. 71. 250% of 65 is what number?In the following exercises, translate and solve. 72. 150% of 90 is what number?In the following exercises, translate and solve. 73. 800% of 2250 is what number?In the following exercises, translate and solve. 74. 600% of 1740 is what number?In the following exercises, translate and solve. 75. 28 is 25% of what number?In the following exercises, translate and solve. 76. 36 is 25% of what number?In the following exercises, translate and solve. 77. 81 is 75% of what number?In the following exercises, translate and solve. 78. 93 is 75% of what number?In the following exercises, translate and solve. 79. 8.2% of what number is $2.87?In the following exercises, translate and solve. 80. 6.4% of what number is $2.88?In the following exercises, translate and solve. 81. 11.5% of what number is $108.10?In the following exercises, translate and solve. 82. 12.3% of what number is $92.25?In the following exercises, translate and solve. 83. What percent of 260 is 78?In the following exercises, translate and solve. 84. What percent of 215 is 86?In the following exercises, translate and solve. 85. What percent of 1500 is 540?In the following exercises, translate and solve. 86. What percent of 1800 is 846?In the following exercises, translate and solve. 87. 30 is what percent of 20?In the following exercises, translate and solve. 88. 50 is what percent of 40?In the following exercises, translate and solve. 89. 840 is what percent of 480?In the following exercises, translate and solve. 90. 790 is what percent of 395?In the following exercises, solve. 91. Geneva treated her parents to dinner at their favorite restaurant. The bill was $74.25. Geneva wants to leave 16% of the total bill as a tip. How much should the tip be?In the following exercises, solve. 92. When Hiro and his co-workers had lunch at a restaurant near their work, the bill was $90.50. They want to leave 18% of the total bill as a tip. How much should the tip be?In the following exercises, solve. 93. Trong has 12% of each paycheck automatically deposited to his savings account. His last paycheck was $2165. How much money was deposited to Trong’s savings account?In the following exercises, solve. 94. Cherise deposits 8% of each paycheck into her retirement account. Her last paycheck was $1,485. How much did Cherise deposit into her retirement account?In the following exercises, solve. 95. One serving of oatmeal has eight grams of fiber, which is 33% of the recommended daily amount. What is the total recommended daily amount of fiber?In the following exercises, solve. 96. One serving of trail mix has 67 grams of carbohydrates, which is 22% of the recommended daily amount. What is the total recommended daily amount of carbohydrates?In the following exercises, solve. 97. A bacon cheeseburger at a popular fast food restaurant contains 2070 milligrams (mg) of sodium, which is 86% of the recommended daily amount. What is the total recommended daily amount of sodium?In the following exercises, solve. 98. A grilled chicken salad at a popular fast food restaurant contains 650 milligrams (mg) of sodium, which is 27% of the recommended daily amount. What is the total recommended daily amount of sodium?In the following exercises, solve. 99. After 3 months on a diet, Lisa had lost 12% of her original weight. She lost 21 pounds. What was Lisa’s original weight?In the following exercises, solve. 100. Tricia got a 6% raise on her weekly salary. The raise was $30 per week. What was her original salary?In the following exercises, solve. 101. Yuki bought a dress on sale for $72. The sale price was 60% of the original price. What was the original price of the dress?In the following exercises, solve. 102. Kim bought a pair of shoes on sale for $40.50. The sale price was 45% of the original price. What was the original price of the shoes?In the following exercises, solve. 103. Tim left a $9 tip for a $50 restaurant bill. What percent tip did he leave?In the following exercises, solve. 104. Rashid left a $15 tip for a $75 restaurant bill. What percent tip did he leave?In the following exercises, solve. 105. The nutrition fact sheet at a fast food restaurant says the fish sandwich has 380 calories, and 171 calories are from fat. What percent of the total calories is from fat?In the following exercises, solve. 106. The nutrition fact sheet at a fast food restaurant says a small portion of chicken nuggets has 190 calories, and 114 calories are from fat. What percent of the total calories is from fat?In the following exercises, solve. 107. Emma gets paid $3,000 per month. She pays $750 a month for rent. What percent of her monthly pay goes to rent?In the following exercises, solve. 108. Dimple gets paid $3,200 per month. She pays $960 a month for rent. What percent of her monthly pay goes to rent?In the following exercises, solve. 109. Tamanika got a raise in her hourly pay, from $15.50 to $17.36. Find the percent increase.In the following exercises, solve. 110. Ayodele got a raise in her hourly pay, from $24.50 to $25.48. Find the percent increase.In the following exercises, solve. 111. Annual student fees at the University of California rose from about $4,000 in 2000 to about $12,000 in 2010. Find the percent increase.In the following exercises, solve. 112. The price of a share of one stock rose from $12.50 to $50. Find the percent increase.In the following exercises, solve. 113. According to Time magazine annual global seafood consumption rose from 22 pounds per person in the 1960s to 38 pounds per person in 2011. Find the percent increase. (Round to the nearest tenth of a percent.)In the following exercises, solve. 114. In one month, the median home price in the Northeast rose from $225,400 to $241,500. Find the percent increase. (Round to the nearest tenth of a percent.)In the following exercises, solve. 115. A grocery store reduced the price of a loaf of bread from $2.80 to $2.73. Find the percent decrease.In the following exercises, solve. 116. The price of a share of one stock fell from $8.75 to $8.54. Find the percent decrease.In the following exercises, solve. 117. Hernando’s salary was $49,500 last year. This year his salary was cut to $44,055. Find the percent decrease.In the following exercises, solve. 118. In 10 years, the population of Detroit fell from 950,000 to about 712,500. Find the percent decrease.In the following exercises, solve. 119. In 1 month, the median home price in the West fell from $203,400 to $192,300. Find the percent decrease. (Round to the nearest tenth of a percent.)In the following exercises, solve. 120. Sales of video games and consoles fell from $1,150 million to $1,030 million in 1 year. Find the percent decrease. (Round to the nearest tenth of a percent.)In the following exercises, solve. 121. Casey deposited $1,450 in a bank account with interest rate 4%. How much interest was earned in two years?In the following exercises, solve. 122. Terrence deposited $5,720 in a bank account with interest rate 6%. How much interest was earned in 4 years?In the following exercises, solve. 123. Robin deposited $31,000 in a bank account with interest rate 5.2%. How much interest was earned in 3 years?In the following exercises, solve. 124. Carleen deposited $16,400 in a bank account with interest rate 3.9%. How much interest was earned in 8 years?In the following exercises, solve. 125. Hilaria borrowed $8,000 from her grandfather to pay for college. Five years later, she paid him back the $8,000, plus $1,200 interest. What was the rate of interest?In the following exercises, solve. 126. Kenneth loaned his niece $1,200 to buy a computer. Two years later, she paid him back the $1,200, plus $96 interest. What was the rate of interest?In the following exercises, solve. 127. Lebron loaned his daughter $20,000 to help her buy a condominium. When she sold the condominium four years later, she paid him the $20,000, plus $3,000 interest. What was the rate of interest?In the following exercises, solve. 128. Pablo borrowed $50,000 to start a business. Three years later, he repaid the $50,000, plus $9,375 interest. What was the rate of interest?In the following exercises, solve. 129. In 10 years, a bank account that paid 5.25% earned $18,375 interest. What was the principal of the account?In the following exercises, solve. 130. In 25 years, a bond that paid 4.75% earned $2,375 interest. What was the principal of the bond?In the following exercises, solve. 131. Joshua’s computer loan statement said he would pay $1,244.34 in interest for a 3-year loan at 12.4%. How much did Joshua borrow to buy the computer?In the following exercises, solve. 132. Margaret’s car loan statement said she would pay $7,683.20 in interest for a 5-year loan at 9.8%. How much did Margaret borrow to buy the car?In the following exercises, find the sale price. 133. Perla bought a cell phone that was on sale for $50 off. The original price of the cell phone was $189.In the following exercises, find the sale price. 134. Sophie saw a dress she liked on sale for $15 off. The original price of the dress was $96.In the following exercises, find the sale price. 135. Rick wants to buy a tool set with original price $165. Next week the tool set will be on sale for $40 off.In the following exercises, find the sale price. 136. Angelo’s store is having a sale on televisions. One television, with original price $859, is selling for $125 off.In the following exercises, find (a) the amount of discount and (b) the sale price. 137. Janelle bought a beach chair on sale at 60% off. The original price was $44.95.In the following exercises, find (a) the amount of discount and (b) the sale price. 138. Errol bought a skateboard helmet on sale at 40% off. The original price was $49.95.In the following exercises, find (a) the amount of discount and (b) the sale price. 139. Kathy wants to buy a camera that lists for $389. The camera is on sale with a 33% discount.In the following exercises, find (a) the amount of discount and (b) the sale price. 140. Colleen bought a suit that was discounted 25% from an original price of $245.In the following exercises, find (a) the amount of discount and (b) the sale price. 141. Erys bought a treadmill on sale at 35% off. The original price was $949.95 (round to the nearest cent.)In the following exercises, find (a) the amount of discount and (b) the sale price. 142. Jay bought a guitar on sale at 45% off. The original price was $514.75 (round to the nearest cent.)In the following exercises, find (a) the amount of discount and (b) the discount rate. (Round to the nearest tenth of a percent if needed.) 143. Larry and Donna bought a sofa at the sale price of $1,344. The original price of the sofa was $1,920.In the following exercises, find (a) the amount of discount and (b) the discount rate. (Round to the nearest tenth of a percent if needed.) 144. Hiroshi bought a lawnmower at the sale price of $240. The original price of the lawnmower is $300.In the following exercises, find (a) the amount of discount and (b) the discount rate. (Round to the nearest tenth of a percent if needed.) 145. Patty bought a baby stroller on sale for $301.75. The original price of the stroller was $355.In the following exercises, find (a) the amount of discount and (b) the discount rate. (Round to the nearest tenth of a percent if needed.) 146. Bill found a book he wanted on sale for $20.80. The original price of the book was $32.In the following exercises, find (a) the amount of discount and (b) the discount rate. (Round to the nearest tenth of a percent if needed.) 147. Nikki bought a patio set on sale for $480. The original price was $850. To the nearest tenth of a percent, what was the rate of discount?In the following exercises, find (a) the amount of discount and (b) the discount rate. (Round to the nearest tenth of a percent if needed.) 148. Stella bought a dinette set onsale for $725. The original price was $1,299. To the nearest tenth of a percent, what was the rate of discount?In the following exercises, find (a) the amount of the mark-up and (b) the list price. 149. Daria bought a bracelet at original cost $16 to sell in her handicraft store. She marked the price up 45%.In the following exercises, find (a) the amount of the mark-up and (b) the list price. 150. Regina bought a handmade quilt at original cost $120 to sell in her quilt store. She marked the price up 55%.In the following exercises, find (a) the amount of the mark-up and (b) the list price. 151. Tom paid $0.60 a pound for tomatoes to sell at his produce store. He added a 33% mark-up.In the following exercises, find (a) the amount of the mark-up and (b) the list price. 152. Flora paid her supplier $0.74 a stem for roses to sell at her flower shop. She added an 85% mark-up.In the following exercises, find (a) the amount of the mark-up and (b) the list price. 153. Alan bought a used bicycle for $115. After re-conditioning it, he added 225% mark-up and then advertised it for sale.In the following exercises, find (a) the amount of the mark-up and (b) the list price. 154. Michael bought a classic car for $8,500. He restored it, then added 150% mark-up beforeadvertising it for sale.Leaving a Tip At the campus coffee cart, a medium coffee costs $1.65.MaryAnne brings $2.00 with her when she buys a cup of coffee and leaves the change as a tip. What percent tip does she leave?Splitting a Bill Four friends went out to lunch and the bill came to $53.75. They decided to add enough tip to make a total of $64, so that they could easily split the bill evenly among themselves. What percent tip did they leave?Without solving the problem “44 is 80% of what number” think about what the solution might be. Should it be a number that is greater than 44 or less than 44? Explain your reasoning.Without solving the problem “What is 20% of 300?” think about what the solution might be. Should it be a number that is greater than 300 or less than 300? Explain your reasoning.After returning from vacation, Alex said he should have packed 50% fewer shorts and 200% more shirts. Explain what Alex meant.Because of road construction in one city,commuters were advised to plan that their Mondaymorning commute would take 150% of their usual commuting time. Explain what this means.Michaela has $2.05 in dimes and nickels in her change purse. She has seven more dimes than nickels. How many coins of each type does she have?Liliana has $2.10 in nickels and quarters in her backpack. She has 12 more nickels than quarters. How many coins of each type does she have?Sumanta has $4.20 in nickels and dimes in her piggy bank. She has twice as many nickels as dimes. How many coins of each type does she have?Alison has three times as many dimes as quarters in her purse. She has $9.35 altogether. How many coins of each type does she have?Jesse has $6.55 worth of quarters and nickels in his pocket. The number of nickels is five more than two times the number of quarters. How many nickels and how many quarters does Jesse have?Elane has $7.00 total in dimes and nickels in her coin jar. The number of dimes that Elane has is seven less than three times the number of nickels. How many of each coin does Elane have?The first day of a water polo tournament the total value of tickets sold was $17,610. One-day passes sold for $20 and tournament passes sold for $30. The number of tournament passes sold was 37 more than the number of day passes sold. How many day passes and how many tournament passes were sold?At the movie theater, the total value of tickets sold was $2,612.50. Adult tickets sold for $10 each and senior/child tickets sold for $7.50 each. The number of senior/child tickets sold was 25 less than twice the number of adult tickets sold. How many senior/child tickets and how many adult tickets were sold?During her shift at the museum ticket booth, Leah sold 115 tickets for a total of $1,163. Adult tickets cost $12 and student tickets cost $5. How many adult tickets and how many student tickets did Leah sell?A whale-watching ship had 40 paying passengers on board. The total collected from tickets was $1,196. Full-fare passengers paid $32 each and reduced-fare passengers paid $26 each. How many full-fare passengers and how many reduced-fare passengers were on the ship?Eric paid $13.36 for stamps. The number of 41-cent stamps was eight more than twice the number of two-cent stamps. How many 41-cent stamps and how many two-cent stamps did Eric buy?Kailee paid $12.66 for stamps. The number of 41-cent stamps was four less than three times the number of 20-cent stamps. How many 41-cent stamps and how many 20-cent stamps did Kailee buy?Orlando is mixing nuts and cereal squares to make a party mix. Nuts sell for $7 a pound and cereal squares sell for $4 a pound. Orlando wants to make 30 pounds of party mix at a cost of $6.50 a pound, how many pounds of nuts and how many pounds of cereal squares should he use?Becca wants to mix fruit juice and soda to make a punch. She can buy fruit juice for $3 a gallon and soda for $4 a gallon. If she wants to make 28 gallons of punch at a cost of $3.25 a gallon, how many gallons of fruit juice and how many gallons of soda should she buy?Remy has $14,000 to invest in two mutual funds. One fund pays interest at 4% per year and the other fund pays interest at 7% per year. How much should she invest in each fund if she wants to earn 6.1% interest on the total amount?has $8,000 to save for his daughter’s college education. He wants to divide it between one account that pays 3.2% interest per year and another account that pays 8% interest per year. How much should he invest in each account if he wants the interest on the total investment to be 6.5%?In the following exercises, solve each coin word problem. 161. Jaime has $2.60 in dimes and nickels. The number of dimes is 14 more than the number of nickels. How many of each coin does he have?In the following exercises, solve each coin word problem. 162. Lee has $1.75 in dimes and nickels. The number of nickels is 11 more than the number of dimes. How many of each coin does he have?In the following exercises, solve each coin word problem. 163. Ngo has a collection of dimes and quarters with a total value of $3.50. The number of dimes is seven more than the number of quarters. How many of each coin does he have?In the following exercises, solve each coin word problem. 164. Connor has a collection of dimes and quarters with a total value of $6.30. The number of dimes is 14 more than the number of quarters. How many of each coin does he have?In the following exercises, solve each coin word problem. 165. A cash box of $1 and $5 bills is worth $45. The number of $1 bills is three more than the number of $5 bills. How many of each bill does it contain?