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28 March, 05:01

Mitchell has only quarters and dimes in his piggy bank the last time he counted his money he had a total of 85 coins that equal $16.75 write a system of equations to model Mitchell's situation. Solve the system of equations to find the number of quarters and dimes

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  1. 28 March, 05:10
    0
    55 quarters, 30 dimes

    Step-by-step explanation:

    x: quarters

    y: dimes

    x + y = 85

    0.25x + 0.10y = 16.75

    Multiply first equation by 0.10 and subtract the two equations.

    0.10x + 0.10y = 8.50

    - (0.25x + 0.10y = 16.75)

    -0.15x = - 8.25

    x = 55

    now plug this x-value into the first equation.

    x + y = 85

    55 + y = 85

    y = 30
  2. 28 March, 05:12
    0
    Qx + Dx = 16.75

    Q = Quarters

    D = Dimes
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