Question 1108365: Ryan has some dimes and quarters with a total value of $5.10. If he has five more quarters than dimes, how many dimes does he have? Answer by ikleyn(52802) (Show Source):
Put 5 quarters aside for a minute. Then the updated collection is worth 510 - 5*25 = 385 cents.
Next, group the rest of the collection in sets, containing 1 dime + 1 quarter each, totaling 10+25 = 35 cents.
The number of sets then is = 11.
Answer. There were 11 dimes and 11+5 = 16 quarters.
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