SOLUTION: Please help me solve this problem: 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 415490: Please help me solve this problem: 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:
Quantity: n + d + q = 102
Quantity: n = d+14
Value:: 5n +10d+25q = 1360 cents
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Rearrange:
n + d + q = 102
n - d + 0 = 14
5n+10d+25q= 1360
-----------------
Use any method you know to get:
q = 36
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Cheers,
Stan H.
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