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4 January, 01:45

You have ten fewer quarters than dimes and 5 fewer nickles than quarters. The total value of the coins is $4.75. How many quarters, nickles, and dimes do you have?

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Answers (2)
  1. 4 January, 01:58
    0
    Q=d-10, n=q-5, Solve the first for d and you have:

    d=q+10 and n=q-5

    .25q+.1d+.05n=4.75, then using d and n from above, this becomes:

    .25q+.1 (q+10) +.05 (q-5) = 4.75 perform indicated multiplications

    .25q+.1q+1+.05q-.25=4.75 combine like terms

    .4q+.75=4.75 subtract. 75 from both sides

    .4q=4 divide both sides by. 4

    q=10, since d=q+10 and n=q-5

    d=20, n=5

    So you have 10 quarters, 20 dimes, and 5 nickels.
  2. 4 January, 02:11
    0
    0.05n + 0.10d + 0.25q = 4.75

    d = q + 10

    n = q - 5

    0.05 (q - 5) + 0.10 (q + 10) + 0.25q = 4.75

    0.05q - 0.25 + 0.10q + 1 + 0.25q = 4.75

    0.40q + 0.75 = 4.75

    0.40q = 4.75 - 0.75

    0.40q = 4

    q = 4 / 0.40

    q = 10 < = = = quarters

    d = q + 10

    d = 10 + 10

    d = 20 < = = dimes

    n = q - 5

    n = 10 - 5

    n = 5 < = = nickels
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