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6 April, 07:39

Joey has a full 40 coins consisting of only quarters and nickels if the total value is $5.00 how many of each does joey have.

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Answers (2)
  1. 6 April, 09:21
    0
    N=number of nickles

    q=number of quarters

    40 coins total so

    n+q=40

    total value is 500 cents

    5n+25q=500

    divide both sides by 5

    n+5q=100

    so we gots

    n+q=40

    n+5q=100

    elimination

    multily first equation by - 1 and add to 2nd equation

    -n-q=-40

    n+5q=100 +

    0n+4q=60

    4q=60

    divide both sides by 4

    q=15

    sub back

    n+q=40

    n+15=40

    minus 15 both sides

    n=25

    25 nickles and 15 quarters
  2. 6 April, 11:26
    0
    Q + n = 40 ... q = 40 - n

    0.25q + 0.05n = 5

    0.25 (40 - n) + 0.05n = 5

    10 - 0.25n + 0.05n = 5

    -0.25n + 0.05n = 5 - 10

    - 0.20n = - 5

    n = - 5 / - 0.20

    n = 25 < = = = 25 nickels

    q + n = 40

    q + 25 = 40

    q = 40 - 25

    q = 15 < = = 15 quarters
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