Answer:
- Student tickets: $3.50
- Adult tickets: $6.50
Explanation:
You want the price of each kind of ticket if these ticket purchases were made:
- 32 student, 8 adult for $164.00
- 27 student, 4 adult for $120.50
Equations
The two purchases can be represented by the equations ...
32s +8a = 164
27s +4a = 120.50
Solution
We can solve these equations using elimination. Subtracting the first equation from twice the second eliminates the y-variable:
2(27s +4a) -(32s +8a) = 2(120.50) -(164)
22s = 77 . . . . . . . simplify
s = 3.5 . . . . . . . divide by 22
4a = 120.50 -27(3.5) = 26
a = 26/4 = 6.5
Student tickets cost $3.50 each, and adult tickets cost $6.50 each.
<95141404393>