A theater sold 150 tickets. Adult tickets cost 12 dollars and child tickets 8 dollars. Revenue was 1560 dollars. Let 'a' be adult tickets and 'c' be child tickets. Which system models this?

$a + c = 150$ and $12a + 8c = 1560$

$a + c = 1560$ and $12a + 8c = 150$

$a - c = 150$ and $12a - 8c = 1560$

$a + c = 150$ and $20(a+c) = 1560$

Word Problems Practice — Grade 4 amc_math

1. The sum of two numbers is 40. One number is 8 less than the other. What is the larger number? ___
2. Gym A charges a 50 dollar fee plus 20 dollars per month. Gym B charges 30 dollars per month. After how many months is the total cost for both gyms the same?
- A. 2
- B. 5
- C. 8
- D. 10
3. The perimeter of a rectangular garden is 60 feet. The length is 6 feet more than the width. What is the length of the garden in feet? ___
4. A theater sold 150 tickets. Adult tickets cost 12 dollars and child tickets 8 dollars. Revenue was 1560 dollars. Let 'a' be adult tickets and 'c' be child tickets. Which system models this?
- A. $a + c = 150$ and $12a + 8c = 1560$
- B. $a + c = 1560$ and $12a + 8c = 150$
- C. $a - c = 150$ and $12a - 8c = 1560$
- D. $a + c = 150$ and $20(a+c) = 1560$
5. The perimeter of a rectangular field is 100 meters. Its length is 10 meters less than three times its width. What is the width of the field in meters? ___