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13 May, 19:27

The marching band is selling candy bars and fruit snacks for a fundraiser. Candy bars are sold for $2.50 and fruit snacks are $1.50. A total of 650 items were sold, bringing in $1,195. How many candy bars were sold?

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  1. 13 May, 22:36
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    220 candy bars

    Step-by-step explanation:

    Let the number of candy bars sold=c

    Let the number of fruit snacks sold=f

    A total of 650 items were sold.

    Therefore: c+f=650

    Candy bars are sold for $2.50

    Fruit snacks are sold for $1.50

    Total Income = $1,195

    Therefore: 2.5c+1.5f=1195

    We solve the resulting system of equation for c, the number of candy bars sold.

    c+f=650 2.5c+1.5f=1195

    From the first equation, f=650-c

    Substitute f=650-c into 2.5c+1.5f=1195

    2.5c+1.5 (650-c) = 1195

    2.5c+975-1.5c=1195

    Collect like terms

    2.5c-1.5c=1195-975

    c=220

    Therefore, 220 candy bars were sold.
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