SOLUTION: Jason emptied his piggy bank and counted exactly $10 in nickels, dimes and quarters There were twice as many dimes as nickels. There were twice as many quarters as dimes. How many

Question 961561: Jason emptied his piggy bank and counted exactly $10 in nickels, dimes and quarters There were twice as many dimes as nickels. There were twice as many quarters as dimes. How many nickels did he have?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Jason emptied his piggy bank and counted exactly $10 in nickels, dimes and quarters There were twice as many dimes as nickels. There were twice as many quarters as dimes. How many nickels did he have?--------------------
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5n + 10d + 25q = 1000 cents
d = 2n
q = 2d
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Substitute for "n" and "q" and solve for "d"::
5(d/2) + 10d + 25(2d) = 1000
5d + 20d + 100d = 2000
125d = 2000
d = 16 (# of dimes)
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n = d/2 = 8 (# of nickels)
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q = 2d = 32 (# of quarters)
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Cheers,
Stan H.
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