Question 234633
A man has 35 coins consisting of dimes and quarters. The total value is $5.15. How many of each coin does he have?
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Quantity Equation: d + q = 35
Value Equation:::10d+ 25q = 5l5 cents
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Multiply thru the Quantity Equation by 10 to get:
10d + 10q = 350
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Subtract that from the Value Equation and solve for "q":
15q = 165
q = 11 (# of quarters)
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Since d+q = 35, d+11 = 35 ; d = 24 (# of dimes)
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Cheers,
Stan H.