Question 827213: Gaby's piggy bank contains 7.15 in quarters and dimes there are 37 coins in all how many quarters are there Answer by kieranmick(1) (Show Source):
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quarter = 25 cents, dime = 5 cents. Some number of quarters (a x 25 cents) added to some number of dimes ( b x 5 cents) = 715 cents.
25a + 5b = 715 with a + b = 37
a + 36b = 205 cents. We need many more quarters.
20a + 17b = 585cents. More a's needed.
25a + 12b = 685cents. Getting closer.
27a + 10b = 725 cents. Slightly too many a's.
26a + 11b = 715.
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