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A collection of coins contains a total of sixteen dimes and quarters. It is worth $2.20 in all. How many dimes are in the collection?

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Answer:

  12 dimes

Step-by-step explanation:

Let q represent the number of quarters. Then the number of dimes is 16-q and the total value is ...

  0.25q +0.10(16 -q) = 2.20

  0.15q +1.60 = 2.20 . . . . . . . simplify

  0.15q = 0.60 . . . . . . . . subtract 1.60

  q = 4 . . . . . . . . . . . divide by 0.15

  16-q = 12

There are 12 dimes in the collection.

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