Problema Solution
A pizza shop delivered 17 pepperoni pizzas to a College on the first night of final exams. The total cost of the pizzas was $145. A small pizza cost three dollars and contains 2 ounces of pepperoni a medium pizza cost seven dollars and contains 9 ounces of pepperoni a large pizza cost $14 and contains 13 ounces of pepperoni. The owner of the pizza shop use 9 lbs. 5 oz. of pepperoni and making the 17 pizzas how many pizzas of each size were delivered to the college.
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Let
S = the number of small pizzas that costs $3 and has 2 oz of pepperoni
M = the number of medium pizzas that costs $7 has 9 oz of pepperoni
L = the number of large pizzas that costs $14 has 13 oz pepperoni
The total number of pizzas deilvered is 17 means:
S + M + L = 17
The total cost is $145 means:
3S + 7M + 14L = 145
The owner of the pizza shop use 9 lbs. 5 oz in total means:
2S + 9M + 13L = 149 (since 9 lbs. 5 oz converted to oz is 9*16 + 5 = 149 oz (since 1 lbs = 16 oz)
We need to solve the following system of equations:
S + M + L = 17
3S + 7M + 14L = 145
2S + 9M + 13L = 149
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S = 4 small pizzas
M = 7 medium pizzas
L = 6 large pizzas
There were 4 small, 7 medium and 6 large pizzas delivered.