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9 July, 12:29

A coin bank has 250 coins dimes and quarters worth 39.25 how many of each type of coins are there?

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Answers (2)
  1. 9 July, 14:15
    0
    Set up a system of equations.

    0.10d + 0.25q = 39.25

    d + q = 250

    Where 'd' represents the number of dimes, and 'q' represents the number of quarters.

    d + q = 250

    Subtract 'q' to both sides:

    d = - q + 250

    Plug in '-q + 250' for 'd' in the 1st equation:

    0.10 (-q + 250) + 0.25q = 39.25

    Distribute 0.10:

    -0.10q + 25 + 0.25q = 39.25

    Combine like terms:

    0.15q + 25 = 39.25

    Subtract 25 to both sides:

    0.15q = 14.25

    Divide 0.15 to both sides:

    q = 95

    Now plug this into any of the two equations to find 'd':

    d + q = 250

    d + 95 = 250

    Subtract 95 to both sides:

    d = 155

    So there are 95 quarters and 155 dimes.
  2. 9 July, 14:19
    0
    Coin bank = 250 coins

    quarters worth=39.25

    250-39.25=210.75 of coins there are
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