SOLUTION: I need help with this type of word problem. I am lost. A collection of 102 nickles, dimes, and quarters is worth $13.60. There are 14 more nickles than dimes. How many quarters

Question 134672: I need help with this type of word problem. I am lost.
A collection of 102 nickles, dimes, and quarters is worth $13.60. There are 14 more nickles 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 nickles, dimes, and quarters is worth $13.60. There are 14 more nickles than dimes. How many quarters are there?
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Let # of dimes by "x" ; Value of these is 10x cents
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# of nickels is "x+14" ; Value is 5(x+14)= 5x+70 cents
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# of quarters is "102-x-(x+14)" Value is 25(88-2x)=2200-50x cents
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EQUATION:
10x + 5x+70 + 2200-50x = 1360
-35x = -840
x = 24
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# of quarters = 88-2x = 88-48 = 40
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Cheers,
Stan H.
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