SOLUTION: A collection of 102 nickels, dimes, and quarters is worth $13.60. There are 14 more nickels than dimes. How many quarters are there?

Question 348978: A collection of 102 nickels, dimes, and quarters is worth $13.60. There are 14 more nickels than dimes. How many quarters are there?

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A collection of 102 nickels, dimes, and quarters is worth $13.60.
There are 14 more nickels than dimes. How many quarters are there?
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Equations:
n + d + q = 102
n = d + 14
5n+10d+25q = 1360 cents
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Rearrange:
n + d + q = 102
n - d + 0 = 14
5n+10d+25q=1360
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Use any method you know to get:
n = 40 (# of nickels)
d = 26 (# of dimes)
q = 36 (# of quarters)
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Cheers,
Stan H.
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