Question

Finn bought 12 movie tickets. Student tickets cost $4, and adult tickets
cost $8. Finn spent a total of $60. Write and graph a system of equations
to find the number of student and adult tickets Finn bought. Lesson 5-2

Answer 1

Let s = number of student tickets and a = number of adult tickets.

System of equations
1) s + a = 12
2) 4s + 8a = 60 (or simplify: s + 2a = 15)

Solve (elimination): subtract (1) from the simplified (2)
(s + 2a) − (s + a) = 15 − 12 → a = 3
Then s = 12 − a = 12 − 3 = 9

So Finn bought 9 student tickets and 3 adult tickets.

To graph:
- Line 1 (s + a = 12): intercepts (s=12, a=0) and (s=0, a=12).
- Line 2 (s + 2a = 15): intercepts (s=15, a=0) and (s=0, a=7.5).

The two lines intersect at (s, a) = (9, 3).