SOLUTION: Monica has three times as many nickles as pennies and twice as many quarters as nickles. In all she has $3.32. How many coins of each type does she have?

Question 229863: Monica has three times as many nickles as pennies and twice as many quarters as nickles. In all she has $3.32. How many coins of each type does she have?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Monica has three times as many nickles as pennies and twice as many quarters as nickles. In all she has $3.32. How many coins of each type does she have?
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Equations:
n = 3p
q = 2n
25q + 5n + p = 332 cents
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Rearrange:
p = 1/3 n
q = 2n
25q + 5n + p = 332
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Substitute and solve for "n":
25(2n) + 5n + (1/3)n = 332
[55 1/3]n = 332
(166/3)n = 332
166n = 996
n = 6 (# of nickels)
p = (1/3)n = 2 (# of pennies)
q = 2n = 12 (# of quarters)
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Cheers,
Stan H.
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