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22 March, 17:19

will has $1.67 in pennies and quarters. His number of pennies is five more than twice the number of quarters. How many pennies does he have?

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  1. 22 March, 17:37
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    p = pennies

    q = quarters

    p = 2q+5 (1)

    .25q+.01p=1.67 (2)

    substitute the equation for pennies (1) into the 2nd equation

    .25q+.01 (2q+5) = 1.67

    distribute

    .25q +.02q +.05 = 1.67

    combine like terms

    .27q +.05 = 1.67

    subtract. 05 from each side

    .27q = 1.62

    divide by. 27

    q=6

    p=2q+5

    p=2 (6) + 5

    p=12+5

    p=17

    There are 6 quarters and 17 pennies
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