Let there be D dimes and Q quarters

Then D * 10 + Q * 25 = 370

Also Q = D + 5 (there are 5 more quarters than dimes)

Then,

10D + 25(D + 5) = 370

10D + 25D + 125 = 370

35D = 245

5D = 35

**D = 7, ** **Q = 12**

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