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9 February, 08:50

At a concession stand, seven hot dog (s) and four hamburger (s) cost $15.75 ; four hot dog (s) and seven hamburger (s) cost $17.25. Find the cost of one hot dog and the cost of one hamburger.

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  1. 9 February, 12:16
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    The answer is: Each hot dog costs $1.25 and each hamburger costs $1.75

    Explanation:

    D = hot dog and H = hamburger

    (7D + 4H = $15.75) x 7

    (4D + 7H = $17.25) x - 4

    We multiply:

    49D + 28H = $110.25

    -16D - 28H = - $69

    We add both equations:

    (49D - 16D) + (28H - 28H) = $110.25 - $69

    33D = $41.25

    D = $41.25 / 33 = $1.25

    Then we replace D with $1.25

    (7 x $1.25) + 4H = $15.75

    4H + $8.75 = $15.75

    4H = $7

    H = $1.75
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