The Pizza Shack is famous for its thick-crust pizza. Last Wednesday, the Divita, Lee, and Washington families all ate at the Pizza Shack.
● The Divitas ordered a cheese pizza with pepperoni and mushrooms, a cheese pizza with garlic and olives, and five soft drinks. Their bill was $26.25.
● The Lees ordered a cheese pizza with sausage, onions, and green peppers and three soft drinks. Their bill was $14.75.
● The Washingtons were having a birthday party. They ordered five cheese pizzas, three with just pepperoni and two with pineapple and Canadian bacon. They also ordered 12 soft drinks. Their bill was $61.50.
Write and solve a system of equations to find the price of a plain cheese pizza, the price of each topping, and the price of a soft drink. (Assume that the price for each topping is the same and that the bills do not include tax or tip.)
Answers
Given : The Pizza Shack is famous for its thick-crust pizza. Last Wednesday, the Divita, Lee, and Washington families all ate at the Pizza Shack.
To Find : price of a plain cheese pizza, the price of each topping, and the price of a soft drink
Solution:
The Divitas ordered a cheese pizza with pepperoni and mushrooms, a cheese pizza with garlic and olives, and five soft drinks. Their bill was $26.25.
2 Cheese pizza + 4 topings + 5 Softdrinks = 26.25 Eq1
The Lees ordered a cheese pizza with sausage, onions, and green peppers and three soft drinks. Their bill was $14.75.
Cheese pizza + 3 topings + 3 Softdrinks = 14.75 Eq2
The Washingtons were having a birthday party. They ordered five cheese pizzas, three with just pepperoni and two with pineapple and Canadian bacon. They also ordered 12 soft drinks. Their bill was $61.50.
5 Cheese pizza + 7 topings + 12 Softdrinks = 61.5 Eq3
2*Eq2 - Eq1
=> 2 toppings +1 Softdrink = 3.25
2 * Eq1 + Eq2 - Eq3
4 toppings + 1 Softdrink = 5.75
=> 2 toppings = 2.5
=> toppings = 1.25
2 toppings +1 Softdrink = 3.25
=> Softdrink = 0.75
toppings = 1.25
Softdrink = 0.75
Cheese pizza + 3 topings + 3 Softdrinks = 14.75
Cheese pizza = 8.75
toppings = 1.25
Softdrink = 0.75
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Answer:
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