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

Let c represent the number of children they take to both shows and let a represent the number of adults they take to both shows. Write a system of inequalities to model this situation.

Select the correct answer below:

1. {4c+4a≤80
6c+8a≥100

2. {4c+4a≤80
6c+8a≤100

3. {4c+4a≤100
6c+8a≥80

4. {4c+4a≤100
6c+8a≤80