SOLUTION: taylor has $3.15 in dimes and quarters. the sum of dimes is 7 more than the number of quarters. how many of each coin does she have?

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Question 957453: taylor has $3.15 in dimes and quarters. the sum of dimes is 7 more than the number of quarters. how many of each coin does she have?
Answer by Alan3354(69443) About Me  (Show Source):
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taylor has $3.15 in dimes and quarters. the sum of dimes is 7 more than the number of quarters. how many of each coin does she have?
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10d + 25q = 315
d = q + 7
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10(q+7) + 25q = 315
2(q+7) + 5q = 63
2q +14 + 5q = 63
7q = 49
--> 7 quarters
14 dimes