Brandon has a jar of quarters and dimes with a total value of $7.05. The number of quarters is 3 less than twice the number of dimes. How ma

Question

Brandon has a jar of quarters and dimes with a total value of $7.05. The number of quarters is 3 less than twice the number of dimes. How many quarters and how many dimes does Brandon have?

Number of quarters =

Number of dimes =

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Clara 23 mins 2021-10-14T02:49:56+00:00 1 Answer 0

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    2021-10-14T02:51:07+00:00

    Answer:

    • quarters: 23
    • dimes: 13

    Step-by-step explanation:

    Let d represent the number of dimes. Then the number of quarters is 2d-3 and the total value of the coins is …

      0.10d + 0.25(2d-3) = 7.05

      0.60d -0.75 = 7.05 . . . . . . . simplify

      d = (7.05 +0.75)/0.60 = 13 . . . . add 0.75, divide by 0.60

      2d-3 = 2·13 -3 = 23

    Brandon has 23 quarters and 13 dimes.

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