Answer:
1 adult ticket and 7 student tickets were purchased
Explanation:
let a represent number of adult tickets purchased and s the number of student tickets purchased, then
a + s = 8 ( subtract s from both sides )
a = 8 - s → (1) ← based on total tickets purchased
10.5a + 7.25s = 61.25 → (2) ← based on cost of tickets
substitute a = 8 - s into (2)
10.5(8 - s) + 7.25s = 61.25
84 - 10.5s + 7.25s = 61.25
84 - 3.25s = 61.25 ( subtract 84 from both sides )
- 3.25s = - 22.75 ( divide both sides by - 3.25 )
s = 7
substitute s = 7 into (1)
a = 8 - 7 = 1
that is 1 adult ticket and 7 student tickets were purchased