SOLUTION: Eli has a lot of loose change in his pocket, but only dimes and quarters. He counts his money and determines that he has $6.45. if he has 39 coins in total, how many of each does h
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Question 1012430: Eli has a lot of loose change in his pocket, but only dimes and quarters. He counts his money and determines that he has $6.45. if he has 39 coins in total, how many of each does he have?
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
Call the number of dimes and quarters, d and q. Then we have
d + q = 39 and the value equation is
10d + 25q = 645 (we work in cents)
Now multiply the top one by 10 and subtract from the second...
10d + 25q = 645
-(10d + 10q = 390)
----------------------
15q = 255
q = 17 quarters
and then we have
d = 39 - q = 22 dimes
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