SOLUTION: Jane has $12:00 in quarters and dimes. She has five times as many dimes,d, as quarters.q. Determine the number of quarters she has.

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Question 416563: Jane has $12:00 in quarters and dimes. She has five times as many dimes,d, as quarters.q. Determine the number of quarters she has.
Answer by stanbon(75887) About Me  (Show Source):
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Jane has $12:00 in quarters and dimes. She has five times as many dimes,d, as quarters.q. Determine the number of quarters she has.
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Quantity: d = 5q
Value:: 10d + 25q = 1200 cents
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Substitute for "d" and solve for "q":
10(5q) + 25q = 1200
75q = 1200
q = 16 (# of quarters)
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Solve for "d":
d = 5q
d = 5*16 = 80 (# of dimes)
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Cheers,
Stan H.
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