SOLUTION: The total value of the quarters and dimes in a coin bank is $6.95. If the quarters were dimes and the dimes were quarters, the total value of the coins would be $7.40. Find the num
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Question 1017064: The total value of the quarters and dimes in a coin bank is $6.95. If the quarters were dimes and the dimes were quarters, the total value of the coins would be $7.40. Find the number of quarters in the bank. Answer by ikleyn(53763) (Show Source):
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The total value of the quarters and dimes in a coin bank is $6.95. If the quarters were dimes and the dimes were quarters, the total value of the coins would be $7.40. Find the number of quarters in the bank.
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10d + 25q = 695, (1)
25d + 10q = 740. (2)
Multiply (1) by 5 and multiply (2) by (-2), then add. You will get
125q - 20q = 5*695 - 2*740, or
105q = 1995.
Hence, q = = 19 quarters.
Please complete the solution yourself.
