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25 August, 05:25

Mitchell works at a concession stand selling hotdogs and cans of soda. A hotdog costs $3.00 and a can of soda costs $1.00. One night, he notices that he sold a total of 350 items and collected a total of $624.

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  1. 25 August, 06:09
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    If you are asking how many hot dogs and cans of soda are sold, this is how I solved it.

    Given:

    cost of hot dog $3

    cost of a can of soda $1

    total items sold: 350

    total sales: $624

    let h stand for hot dog and s stand for soda.

    h + s = 350

    3h + 1s = 624

    h = 350 - s

    3 (350-s) + s = 624

    1,050 - 3s + s = 624

    -2s = 624 - 1050

    -2s = - 426

    -2s/-2 = - 426/-2

    s = 213 cans of soda

    h = 350 - s

    h = 350 - 213

    h = 137 hot dogs

    3h + s = 624

    3 (137) + 213 = 624

    411 + 213 = 624

    624 = 624

    Mitchell sold 137 hot dogs and 213 cans of soda.
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