Half of a pepperoni pizza plus 3/4ths of a ham and pineapple pizza has 765 calories. 1/4th of a pepp

Discussion in 'Calculator Requests' started by math_celebrity, Sep 11, 2019.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    Half of a pepperoni pizza plus 3/4ths of a ham and pineapple pizza has 765 calories. 1/4th of a pepperoni pizza and a whole ham and pineapple pizza contains 745 calories. How many calories are each of the 2 kinds of pizzas individually?

    Let p be the pepperoni pizza calories and h be the ham and pineapple pizza calories. We're given
    1. 0.5p + 0.75h = 765
    2. 0.25p + h = 745
    With this system of equations, we can solve using 3 methods:
    No matter what method we choose, we get:
    h = 580
    p = 660
     

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