Answer:
The cost of one student ticket = $6
Step-by-step explanation:
They were charged for three student tickets and two adult tickets.
Let the cost of one student ticket = a
Let the cost of one Adult ticket = b
If a student ticket costs 3/4 as much as an adult ticket costs
a = 3/4(b)
= 3b/4
For his family of 5 to play it costs $34.
Hence:
3a + 2b = $34
a = 3b/4
3(3b/4) + 2b= 34
9b/4+ 2b = 34
9b + 8b / 4 = 34
17b/4 = 34
17b = 34 × 4
b = 136/17
b = $8
The cost of one Adult ticket = $8
Note that:
a = 3b/4
a = 3(8)/4
a = 24/4
a = $6
Therefore, the cost of one student ticket = $6
