Math

a newspaper carrier has $1.80 in change. He has two more quarters than dimes but three times as many nickels as quarters. How many coins of each type does he have?

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  1. dimes--- x
    quarters -- x+2
    nickels --- 3(x+2) = 3x + 6

    10x + 25(x+2) + 5(3x+6) = 180
    10x + 25x + 50 + 15x + 30 = 180
    50x =100
    x = 2

    so 2 dimes
    and 4 quarters
    and 12 nickels

    check:
    10(2) + 4(25) + 5(12) = 180
    all is good

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    posted by Reiny
  2. Thanks so much Reiny.

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