SOLUTION: Sam has $2.05 in quarters and dimes. He has 4 more quarters than dimes. Find the number he has of each coin

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Question 368659: Sam has $2.05 in quarters and dimes. He has 4 more quarters than dimes. Find the number he has of each coin
Answer by stanbon(75887) About Me  (Show Source):
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Sam has $2.05 in quarters and dimes. He has 4 more quarters than dimes. Find the number he has of each coin
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Quantity Eq:: q = d + 4
Value Eq:::: 25q+10d = 205
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Substitute for "q" and solve for "d":
25(d+4) + 10d = 205
35d = 105
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d = 3 (# of dimes)
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Since q = d+4, q = 7 (# of quarters)
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Cheers,
Stan H.