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25 January, 17:12

You are running a concession stand at a basketball game. You are selling hot dogs and sodas. Each hot dog costs $1.50 and each soda costs $0.50. At the end of the night you made a total $150. Let x represent the number of hot dogs sold and y represent the number of sodas sold. Write an equation that can be used to find the number of hotdogs and sodas sold.

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  1. 25 January, 17:40
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    x = 35 hot dogs

    y = 52 soda

    Step-by-step explanation:

    x = hot dogs

    y = soda

    Total sold

    1 x + 1 y = 87 ... 1

    2 x 0.50 y = 78.50 ... 2

    Eliminate y

    multiply (1) by - 0.50

    Multiply (2) by 1.00

    -0.50 x - 0.50 y = - 43.50

    2 x + 0.50 y = 78.50

    Add the two equations

    1 x = 35.00

    / 1

    x = 35.00

    plug value of x in (1)

    1 x + 1 y = 87

    35 + y = 87

    y = 87 - 35

    y = 52

    y = 52.00

    x = 35 hot dogs

    y = 52 soda
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