SOLUTION: Jeff has $1.30 in change. He has twice as many nickels as dimes. He has half as many quarters as dimes. How many nickels, dimes and quarters does he have?

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Question 558083: Jeff has $1.30 in change. He has twice as many nickels as dimes. He has half as many quarters as dimes. How many nickels, dimes and quarters does he have?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Jeff has $1.30 in change. He has twice as many nickels as dimes. He has half as many quarters as dimes. How many nickels, dimes and quarters does he have?
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n = 2d
d = 2q
5n + 10d + 25q = 130
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Substitute for n and for d and solve for "q":
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5(2*2q) + 10(2q) + 25q = 130
20q + 20q + 25q = 130
65q = 130
q = 2 (# of quarters)
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d = 2q = 4 (# of dimes)
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n = 2d = 8 (# of dimes)
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Cheers,
Stan H.
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