SOLUTION: Shea has 5 times as many dimes as she does quarters. Combined the dimes and quarters total $9.75. How many quarters does she have?

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Question 522384: Shea has 5 times as many dimes as she does quarters. Combined the dimes and quarters total $9.75. How many quarters does she have?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Shea has 5 times as many dimes as she does quarters. Combined the dimes and quarters total $9.75. How many quarters does she have?
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Equations:
d = 5q
10d + 25q = 975 cents
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Substitute for "d" and solve for "q":
10*5q + 25q = 975
75q = 975
q = 13 (# of quarters)
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Solve for "q":
d = 5q
d = 5*13 = 65 (# of dimes)
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Cheers,
Stan H.
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