comsumer math

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victoria has a total of twenty-four nickles and quarters. she has ten more quarters than nickles.how much money does she have?

  • comsumer math -

    let nickels be 'n' and quarters be 'q'

    n + q = 24

    q = 10 + n

    substitute q into the equation
    n + (10 + n) = 24

    subtract 10 from both sides
    10 + 2n = 24

    2n = 14

    divide by 2 on both sides
    n=7 or 7 nickels or 35cents (7*5 cents)

    plug 7 back into the second equation because they told us Victoria has 10 more quarters than nickles. So she must have 17 quarters.

    7 + 10 = 17 quarters

    17 * 25 cents or .25 = 4.25

    $4.25 + $.35 = $4.60

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