<PRE><B>Question 141799</B>
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.
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At the end of their sales the class sold a total of 600 pizzas and made $5900.
Quantity Eq: p + s + c = 600
Value Eq: 12p + 10s + 8c = 5900
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The students sold 175 more cheese pizzas than sausage pizzas.
Relation Eq: c = s + 175 
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Set up a system of three equations and three unknowns, use an augmented matrix to solve. Identify the three unknowns.
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Write a separate equation representing each of the first three sentences.
p   +   s +  c = 600
12p + 10s + 8c = 5900
0   -   s + c  =  175
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Comment: You can write these as an aumented matix
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Solve the system anyway you can to get:
p = 225 (# of pepperoni sold)
s = 100 (# of sausage sold)
c = 275 (# of cheese sold)
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Determine the augmented matrix that represents the three equations and solve for the matrix. 
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Cheers,
Stan H.
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