SOLUTION: Chris orders a 3 topping pizza for $15.35, and a 5 topping pizza for $17.95. Write and solve a system of linear equations to find the price of a plain cheese pizza(no toppings) an

Algebra ->  Linear-equations -> SOLUTION: Chris orders a 3 topping pizza for $15.35, and a 5 topping pizza for $17.95. Write and solve a system of linear equations to find the price of a plain cheese pizza(no toppings) an      Log On


   

Question 1004886: Chris orders a 3 topping pizza for $15.35, and a 5 topping pizza for $17.95. Write and solve a system of linear equations to find the price of a plain cheese pizza(no toppings) and the cost of each topping.?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +p+ = the price of a plain cheese pizza
Let +t+ = the price of a single topping
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(1) +p+%2B+3t+=+1535+
(2) +p+%2B+5t+=+1795+ ( in cents )
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Subtract (1) from (2)
+2t+=+260+
+t+=+130+
and
(1) +p+%2B+3%2A130+=+1535+
(1) +p+=+1535+-+390+
(1) +p+=+1145+
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The price of a plain cheese pizza is $11.45
The price of a single topping is $1.30
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check:
(2) +p+%2B+5t+=+1795+
(2) 1145+%2B+5%2A130+=+1795+
(2) +1145+%2B+650+=+1795+
(2) +1795+=+1795+
OK