Math, asked by audreycoombs17, 6 months ago

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

Answered by amitnrw
0

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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Answered by arsh123465
0

Answer:

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