Question

Translate to system Grandpa and Grandma are treating their family to the movies. Matineetickets cost $4 per child and $4 per adult. Evening tickets cost $6 per childand $8 per adult. They plan on spending no more than $80 on the matineetickets and no more than $100 on the evening tickets.

Answer 1

4x + 4y ≤ 80

6x + 8y ≤ 100

Step-by-step explanation:

Let's define x as the number of children and y as the number of adults.

For Matinee tickets, they spend $4 per child and $4 per adult, so if the total is no more than 80, we get:

4x + 4y ≤ 80

In the same way, they spend $6 per child and $8 per adult on the evening tickets, so

6x + 8y ≤ 100

Therefore, the system is

4x + 4y ≤ 80

6x + 8y ≤ 100