SOLUTION: A man has 29 coins in his pocket, all of which are dimes and quarters. If the total value of his change is 590 cents, how many dimes and how many quarters does he have?
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Question 92465: A man has 29 coins in his pocket, all of which are dimes and quarters. If the total value of his change is 590 cents, how many dimes and how many quarters does he have? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! Write an equation for each statement:
:
"A man has 29 coins in his pocket, all of which are dimes and quarters. "
d + q = 29
:
"If the total value of his change is 590 cents,"
10d + 25q = 590
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how many dimes and how many quarters does he have?
Using the first equation:
d + q = 29
d = (29 - q)
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Substitute (29-q) for d in the 2nd equation:
10(29-q) + 25q = 590
290 - 10q + 25q = 590
-10q + 25q = 590 - 290
15q = 300
q = 300/15
q = 20 quarters
:
d = 29 - 20
d = 9 dimes
:
Check solutions: 10(9) + 25(20) = 590
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