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3 November, 07:07

A collection of quarters and nickels is worth $14.80. There are 88 coins in all.

How many of each coin are there?

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  1. 3 November, 07:22
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    So the equaiton is

    number of nickes=n

    number of quarters=q

    if you have 1 quarter then you have 25 cents so we will represent like this

    25q

    and nickles is 5n

    14.50=1450 cents

    so

    25q+5n=1480

    q+n=88

    subtract q from both sides

    n=88-q

    subsitute into first equation

    25q+5 (88-q) = 1480

    25q+440-5q=1480

    add like terms

    20q+440=1480

    subtract 440 from both sides

    20q=1040

    divide both sdies by 20

    q=52

    there were 52 quarters

    25 (52) + 5n=1480

    1300+5n=1480

    subtract 1300 from both sides

    5n=180

    divide both sides by 5

    n=36

    there were 36 nickels

    nickles=36

    quarters=52
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