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27 April, 18:03

At a basketball game, Gail purchased 4 sodas and 2 hot dogs for $7.50. Martavius purchased 2 sodas and 4 hot dogs for $6.00. Some of Gail's relatives showed up late to the game, so Gail purchased 8 sodas and 10 hot dogs. Enter the amount of money that Gail spent on the 8 sodas and 10 hot dogs.

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  1. 27 April, 19:51
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    The first thing we must do for this case is to define variables.

    We have then:

    x: price of soda

    y: price of hot dogs.

    We write the system of equations:

    4x + 2y = 7.50

    2x + 4y = 6

    Whose solution is:

    x = 1.5 $

    y = 0.75 $

    Then, for 8 sodas and 10 hot dogs we have:

    8x + 10y

    Substituting values:

    8 * (1.5) + 10 * (0.75) = 19.5 $

    Answer:

    the amount of money that Gail spent on the 8 sodas and 10 hot dogs is:

    $ 19.5
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