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

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

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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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