Question 151324
4. A group of students decides to sell pizzas to help raise money for their senior class trip. 
They sold pepperoni for $12, sausage for $10, and cheese for $8. 
At the end of their sales the class sold a total of 600 pizzas and made $5900. The students sold 175 more cheese pizzas than sausage pizzas. 
Set up a system of three equations and three unknowns, 
use an augmented matrix to solve, and show all work to receive full credit.
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A. What are the three unknowns?
p = # of pepperoni
s = # of sausage
c = # of cheese
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B. Write a separate equation representing each of the first three sentences. 
Quantity Eq: p   +   s + c  = 600
Value Equat: 12p + 10s + 8c = 5900
Quantity Eq: 0p  -  s  +  c = 175
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C. Determine the augmented matrix that represents the three equations. 
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D. Solve for the matrix. Show all work to receive full credit. 
Use any method to get:
p = 225
s = 100
c = 275
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E. How many of each type of pizza were sold? 
See answers to "D".

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Cheers,
Stan H.