SOLUTION: A coin bank contains dimes and quarters. The total value of the coins is $10.40. If the dimes were quarters and the quarters were dimes, the total value would be $9.20. How many di

Question 192133: A coin bank contains dimes and quarters. The total value of the coins is $10.40. If the dimes were quarters and the quarters were dimes, the total value would be $9.20. How many dimes are there in the bank?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A coin bank contains dimes and quarters. The total value of the coins is $10.40. If the dimes were quarters and the quarters were dimes, the total value would be $9.20. How many dimes are there in the bank?
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Equations:
10d + 25q = 1040 cents
25d + 10q = 920 cents
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Modify:
10d + 25q = 1040
5d + 2q = 184
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Modify again:
10d + 35q = 1040
10d + 4q = 368
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Subtract to get:
31q = 672
q = 21.67742...
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Comment: "q" should have a whole number value.
Check your problem statement again.
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Cheers,
Stan H.
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