SOLUTION: A person has quarters and dimes that total $2.80. The number of dimes is 7 more than the number of quarters. How many of each coin does the person have

Question 242168: A person has quarters and dimes that total $2.80. The number of dimes is 7 more than the number of quarters. How many of each coin does the person have
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A person has quarters and dimes that total $2.80. The number of dimes is 7 more than the number of quarters. How many of each coin does the person have
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Equations:
Quantity Eq::: d = q + 7
Value Eq:::::: 10d + 25q = 280 cents
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Substitute for "d" in the and Value Eq. and solve for "q":
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10(q+7) + 25q = 280
35q = 210
q = 6 (# of quarters)
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Substitute into d = q + 7 to get d = 13 (# of dimes)
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Cheers,
Stan H.

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