SOLUTION: a coin bank containing only dimes and quarters has 20 more dimes than quarters. the total value of the coins us $9. how many quarters and dimes are in the coin bank?

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Question 1046301: a coin bank containing only dimes and quarters has 20 more dimes than quarters. the total value of the coins us $9. how many quarters and dimes are in the coin bank?
Answer by Alan3354(69443) About Me  (Show Source):
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a coin bank containing only dimes and quarters has 20 more dimes than quarters. the total value of the coins us $9. how many quarters and dimes are in the coin bank?
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Without the "20 more dimes" there would be pairs of coins, each pair worth 35 cents, and a total of $7.
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700/35 = 20 pairs
--> 20 Q's and 40 dimes.
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The "hard way":
10d + 25q = 900
d = q + 20
10(q+20) + 25q = 900
35q = 700
q = 20
d = 40