Question

Gerald is going mini golfing at Golf-O-Rama with his family. For his family of 5 to play it costs $34. They were charged for three student tickets and two adult tickets. If a student ticket costs 3/4 as much as an adult ticket costs, how much does one student ticket cost?

Answer 1

The cost of one student ticket = $6

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