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Work in cents. 10D + 25Q = 1975 and D + Q = 100 so D = 100 - Q

1000 - 10Q + 25Q = 1975

15Q = 975

Q = 65 making D = 35;

Check: does 10 x 35 + 65 x 25 = 1975?

350 + 1625 = 1975. Game over.

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Q: Piggy bank contains 19.75 in dimes and quarters there are 100 coins in all how many dimes are there?
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