Question 1059773: When a child breaks open her piggy bank, she finds a total of 50 coins, consisting of nickels, dimes, and quarters. The total value of the coins is $6. If the nickels were dimes, and the dimes were nickels, the value of the coins would be $5. How many nickels, dimes, and quarters were in the piggy bank?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! When a child breaks open her piggy bank, she finds a total of 50 coins, consisting of nickels, dimes, and quarters. The total value of the coins is $6. If the nickels were dimes, and the dimes were nickels, the value of the coins would be $5. How many nickels, dimes, and quarters were in the piggy bank?
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n + d + q = 50 coins
5n + 10d + 25q = 600 cents
10n + 5d + 25q = 500 cents
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Modify::
n + d + q = 50
n + 2d + 5q = 120
2n + d + 5q = 100
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Use any method you know to solve the system to get::
n = 10
d = 30
q = 10
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