Ms. Jones is ordering pizzas for the school dance. To keep things simple, she plans on only ordering two types, cheese and pepperoni. Each cheese pizza costs $10 and each pepperoni pizza costs $13. The number of cheese pizzas should be more than twice the number of pepperoni pizzas. The school dance budget will allow for no more than $200 to pay for the pizzas. This situation can be modeled by the following system of inequalities.

Which of the following statements represents the given situation?

Question

Mathematics

Abagail Lambert

4 March, 18:17

Ms. Jones is ordering pizzas for the school dance. To keep things simple, she plans on only ordering two types, cheese and pepperoni. Each cheese pizza costs $10 and each pepperoni pizza costs $13. The number of cheese pizzas should be more than twice the number of pepperoni pizzas. The school dance budget will allow for no more than $200 to pay for the pizzas. This situation can be modeled by the following system of inequalities.

Which of the following statements represents the given situation?

+5

Answers (2)

Know the Answer?

Evelin Flowers · Answer 1

You multiply by two times for 10 and 13

Bush · Answer 2

The first thing we must do for this case is to define variables:

x = cheese pizza

y = pepperoni pizza

The system of equations is:

"Each cheese pizza costs $ 10 and each pepperoni pizza costs $ 13 ... I have school dance budget will allow for no more than $ 200 to pay for the pizzas"

10x + 13y < = 200

"The number of cheese pizzas should be more than twice the number of pepperoni pizzas"

x> 2y

Answer:

The situation is represented by:

10x + 13y < = 200

x> 2y