Answer:
Question 1
- Let number of adult tickets - x, student tickets - y
Required equations:
- x + y = 8
- 7.25x + 5.50y = 52.75
Solve by substitution x = 8 - y
- 7.25(8 - y) + 5.50y = 52.75
- 58 - 7.25y + 5.50y = 52.75
- 1.75y = 5.25
- y = 5.25/1.75
- y = 3
Find x:
Answer: 5 adults and 3 students
Question 2
- Pair of gloves costs- x, hats cost- y
Equations:
Solve by elimination, subtract the equations:
- 2y = 43 - 30
- 2y = 13
- y = 6.5
Find x:
- 2x = 30 - 13
- 2x = 17
- x = 8.5
Answer: Gloves cost $8.5, hats cost $6.5