At a homecoming football game, the senior class sold slices of pizza for $.75 each and hamburgers fo

Discussion in 'Calculator Requests' started by math_celebrity, Aug 5, 2020.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    At a homecoming football game, the senior class sold slices of pizza for $.75 each and hamburgers for $1.35 each. They sold 40 more slices of pizza than hamburgers, and sales totaled $292.5. How many slices of pizza did they sell

    Let the number of pizza slices be p and the number of hamburgers be h. We're given two equations:
    1. p = h + 40
    2. 1.35h + 0.75p = 292.50
    Substitute equation (1) into equation (2) for p:
    1.35h + 0.75(h + 40) = 292.50
    1.35h + 0.75h + 30 = 292.50
    2.10h + 30 = 292.50

    To solve for h, we plug this equation into our search engine and we get:
    h = 125

    The problem asks for number of pizza slices sold (p). So we substitute our value above of h = 125 into equation (1):
    p = 125 + 40
    p = 165
     

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