Concept explainers
To Find: the number of coins Janet has of each category..
Answer to Problem 10P
(1,30,22),(8,34,19),(15,38,16),(22,42,13),(29,46,10),(36,50,7),(43,54,4) and (50,58,1).
Explanation of Solution
Given: Janet has coins of nikels,dimes and quarters worth
She has
Calculation:
Let number of nickels be
Equation for their value can be written as.
Since, Janet has
Substitute second equation into first.
This equation allows multiple set of answer which are integers only therefore by trial error, following answers have been found.
n=1,d=30,q=22
n=8,d=34,q=19
n=15,d=38,q=16
n=22,d=42,q=13
n=29,d=46,q=10
n=36,d=50,q=7
n=43,d=54,q=4
n=50,d=58,q=1
So the answer is (1,30,22),(8,34,19),(15,38,16),(22,42,13),(29,46,10),(36,50,7),(43,54,4) and (50,58,1).
Chapter 4 Solutions
Algebra: Structure And Method, Book 1
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