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7 November, 14:18

At a concession stand, five hot dogs and two hamburgers cost $9.25 ; two hot dogs and five hamburgers cost $10.00. Find the cost of one hot dog and the cost of one hamburger.

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  1. 7 November, 14:40
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    hot dogs - $1.25

    hamburgers - $1.50

    Step-by-step explanation:

    let hot dogs be x and hamburgers be y∀

    five hot dogs and two hamburgers cost $9.25

    5x + 2y = $9.25 (eq. 1)

    5x=9.25-2y

    divide both sides by 5x

    x = 1.85-0.4 (insert this in eq. 2)

    two hotdogs and five hamburgers cost $10.00

    2x + 5y = $10.00 (eq. 2)

    2 * (1.85-0.4) + 5y=10.00

    3.7 - 0.8 + 5y = 10.00

    -0.8+5y=10.00-3.7

    4.2y=6.3

    divide both sides by 4.2 to evaluate the variable

    6.3 divided by 4.2

    y=1.50

    now find x

    x=1.85-0.4*1.5

    x=1.85-0.6

    x = 1.25
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