Question

Aliyah's school is selling tickets to a play. On the first day of ticket sales the school sold 9 adult tickets and 14 student tickets for a total of $220. The school took in $188 on the second day by selling 11 adult tickets and 7 student tickets. What is the price each of one adult ticket and one student ticket? Write answer as an ordered pair.

Answer 1

Explanation:

a and s are the numbers of adult and student tickets, respectively.

9a + 14s = 220

11a + 7s = 188 Multiply by -2 and add to first equation.

-22a - 14s = -376

9a + 14s = 220

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-13a = -156

a = 12

9(12) + 14s = 220

14s = 112

s = 8

Adult tickets cost $12. Student tickets cost $8.