SOLUTION: When a child breaks open her piggy bank, she finds a total of 54 coins, consisting of nickels, dimes, and quarters. The total value of the coins is $7. If the nickels were dimes, a

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Question 1119905: When a child breaks open her piggy bank, she finds a total of 54 coins, consisting of nickels, dimes, and quarters. The total value of the coins is $7. If the nickels were dimes, and the dimes were nickels, the value of the coins would be $6. How many nickels, dimes, and quarters were in the piggy bank?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
system%28n%2Bd%2Bq=54%2C0.05n%2B0.1d%2B0.25q=7%2C0.1n%2B0.05d%2B0.25q=6%29

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system%28n%2Bd%2Bq=54%2Cn%2B2d%2B5q=140%2C2n%2Bd%2B5q=120%29


E2 and E3 mean d-n=20.

Substitute for d:
system%282n%2Bq=34%2C3n%2B5q=100%29

system%2810n%2B5q=170%2C3n%2B5q=100%29

7n=70

highlight%28n=10%29--------------ten nickels.
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highlight%28d=30%29---------------dimes, 30
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highlight%28q=14%29-------------14 quarters