SOLUTION: The total value of the nickels, dimes, and quarters in a coin bank is $4. If the nickels were dimes and the dimes were nickels, the total value of the coins would be $3.75. If the

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Question 166594This question is from textbook
: The total value of the nickels, dimes, and quarters in a coin bank is $4. If the nickels were dimes and the dimes were nickels, the total value of the coins would be $3.75. If the quarters were dimes and the dimes were quarters, the total value would be $6.25. Find the number of nickels, dimes, and quarters in the bank.
This question is from textbook

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
The total value of the nickels, dimes, and quarters in a coin bank is $4.
If the nickels were dimes and the dimes were nickels, the total value of the coins would be $3.75.
If the quarters were dimes and the dimes were quarters, the total value would be $6.25.
Find the number of nickels, dimes, and quarters in the bank.
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EQUATIONS:
5n + 10d + 25q = 400
10n+ 5d + 25q = 375
5n + 25d + 10q = 625
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Solve by any method to get:
n=15
d=20
q=5
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Cheers,
Stan H.

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