Question 381318: how many dimes and quarters make $3.85
Answer by richard1234(7193)   (Show Source):
You can put this solution on YOUR website! There are multiple ordered pairs of quarters and dimes (q, d) that satisfy. We want the amount of money from the quarters to be an odd multiple of 25 (i.e. something ending in .25 or .75) so that the amount from the dimes is a multiple of 10. Therefore we have
25q = 375, 10d = 10 --> 15 quarters, 1 dime
25q = 325, 10d = 60 --> 13 quarters, 6 dimes
Repeating this algorithm, we obtain (q, d) = (15, 1), (13, 6), (11, 11), (9, 16), (7, 21), (5, 26), (3, 31), (1, 36).
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