Answered: A chef is going to use a mixture of two…

Elementary Algebra

17th Edition

ISBN:9780998625713

Author:Lynn Marecek, MaryAnne Anthony-Smith

Publisher:Lynn Marecek, MaryAnne Anthony-Smith

Chapter3: Math Models

Section3.6: Solve Applications With Linear Inequalities

Problem 3.112TI: Rameen’s heating bill is $5.42 per month plus $1.08 per therm. How many therms can Rameen use if he...

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A chef is going to use a mixture of two brands of Italian dressing. The first brand contains 8% vinegar the second brain contains 30% vinegar. The chef wants to make 380 mL of a dressing that is 9% vinegar. How much of each should she use?

Expert Solution

Step 1

Suppose that, x mL of 8% vinegar is used in the mixture and 380 - x mL if 30% vinegar is used in the mixture.

$8 % x + (380 - x) 30 % = 9 % (380) \frac{8}{100} x + (380 - x) \frac{30}{100} = \frac{9}{100} (380) \frac{8 x + 380 \times 30 - 30 x}{100} = \frac{9 \times 380}{100} 11400 - 22 x = 3420 11400 - 3420 = 22 x 7980 = 22 x \frac{7980}{22} = x 362.72 = x$

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