Question 862457
A certain number of quarters, four times as many pennies as quarters, and six more dimes than pennies are worth $3.36. How many of each coin are there?
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p = 4q
d = p + 6
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Value Equation:
p + 10d + 25q = 336 cents
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p + 10(p+6) + 25(p/4) = 336
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11p + 60 + 25(p/4) = 336
Multiply thru by 4 to get:
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44p + 25p = 4*276
69p = 4*276
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p = 16 (# of pennies)
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q = (1/4)p = 4 (# of quarters)
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d = p + 6 = 22 (# of dimes)
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Cheers,
Stan H.
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