Math

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A city park employee collected 600 cents in nickels, dimes, and quarters at the bottom of the wishing well. There were 10 nickels, and a combined total of 25 dimes and quarters. How many dimes and quarters were at the bottom of the well?

  • Math -

    For information to non-North American readers, the following coins are worth:
    dime = 10 cents
    nickel = 5 cents
    quarter = 25 cents.

    600 cents = 10 nickels and 25 dimes and quarters.

    Let D=number of dimes

    10(5)+10(D)+25(25-D)=600
    Isolate D:
    -15D=600-625-50=-75
    =>
    D=-75/(-15)=5
    So number of dimes = 5
    number of quarters = 25-5=20
    number of nickels = 10 (given)

    Check:
    5(10)+20(25)+10(5)
    =50+500+50
    =600 ✓

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