A collection of quarters and dimes has a total value of$5.00 and contains 32 coins. How many of each kind of coins are there in the collecti

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A collection of quarters and dimes has a total value of$5.00 and contains 32 coins. How many of each kind of coins are there in the collection?

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Mộc Miên 6 months 2021-07-17T10:22:10+00:00 1 Answers 5 views 0

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    2021-07-17T10:24:06+00:00

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    Answer:

      12 quarters

      20 dimes

    Step-by-step explanation:

    If all were dimes the value would be $3.20. It is $1.80 more than that. Each replacement of a dime with a quarter adds $0.15 to the value, so there must be $1.80/$0.15 = 12 such replacements.

    There are 12 quarters and 20 dimes.

    _____

    Let q represent the number of quarters.

      0.25q +0.10(32 -q) = 5.00 . . . . . total value

      0.15q +3.20 = 5.00 . . . . . . . . . simplify

      q = (5.00 -3.20)/0.15 . . . . . . subtract 3.20 and divide by 0.15

      q = 12

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