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?

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Question 454215: 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 jorel1380(3719)   (Show Source): You can put this solution on YOUR website!
(x+14)+x+y=102
5(x+14)+10x+25y=1360
---------------
2x+y=88
5x+70+10x+25y=1360
15x+25y=1290
50x+25y=2200
35x=910
x=26
x+14=40
y=36
This collection has 40 nickels, 26 dimes, and 36 quarters..

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