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

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

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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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