SOLUTION: A coin bank has only dimes and quarters. The number of quarters is 1 more than 3 times the number of dimes. The total value is $6.20. Find the number of dimes

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Question 1047516: A coin bank has only dimes and quarters. The number of quarters is 1 more than 3 times the number of dimes. The total value is $6.20. Find the number of dimes
Answer by ikleyn(52866) About Me  (Show Source):
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A coin bank has only dimes and quarters. The number of quarters is 1 more than 3 times the number of dimes.
The total value is $6.20. Find the number of dimes
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Let d be the number of dimes.

Then

10d + 25(3d+1) = 620,  or

10d + 75d + 25 = 620,  or

85d = 620 - 25,  85d = 595,  d = 595%2F85 = 7.

Answer.  7 dimes.