Question 909718: A piggy bank contains $12.75 in nickels, dimes, and quarters. There are twice as many dimes as nickels, and 3 fewer quarters than dimes. How many of each types of coins are there?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A piggy bank contains $12.75 in nickels, dimes, and quarters. There are twice as many dimes as nickels, and 3 fewer quarters than dimes. How many of each types of coins are there?
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Equations::
Value:: 5n + 10d + 25q = 1275 cents
Quantity:: d = 2n
Quantity:: q = d-3
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Substitute and solve for "n":
5n + 10(2n) + 25(2n-3) = 1275
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5n + 20n + 50n - 150 = 1275
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75n = 1425
n = 19 (# of nickels)
d = 2n = 38 (# of dimes)
q = d-3 = 35 (# of quarters)
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Cheers,
Stan H.
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