Question

Rasheed is buying wings and quesadillas for a party. A package of wings costs $8. A package of quesadillas costs $10. He must spend no more than $160. Rasheed’s freezer will hold a maximum of 20 packages of wings and quesadillas. Part A: Write a system of linear inequalities to represent the situation.

Answer 1

Rasheed is buying wings and quesadillas for a party.

A package of wings costs $8

A package of quesadillas costs $10

Let number of wings = w

Let number of quesadillas = q

If he must spend no more than $160

8w + 10q ≤ 160

Rasheed’s freezer will hold a maximum of 20 packages of wings and quesadillas

Therefore, w + q ≤ 20

System of linear inequalities to represent the situation:

{8w + 10q ≤ 160

{w + q ≤ 20