Answer:
See below.
Step-by-step explanation:
Two types of tickets are adult(a) and student(s). Let a and s stand for the numbers of tickets bought for each.
We know that a + s = 32 {The school buys a total of 32 tickets.}
The total cost is $288, made up of:
a*($12.50) and s*($8.50)
Thus, we can write:
a*($12.50) + s*($8.50) = $288
The two equations:
a + s = 32
a*($12.50) + s*($8.50) = $288
are all we need to calculate the numbers of a and s tickets.
===
a = 32-s
a*(12.50) + s*(8.50) = 288
(32-s)*(12.50) + s*(8.50) = 288
400 - 4s = 288
-4s = -112
s = 28 tickets
---
a + s = 32
a + 28 = 32
a = 4 tickets
==
Check:
tickets Price Total
a 4 $12.5 $50
2 28 $8.5 $238
$288
