The school that Imani goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 adult tickets and 6 student tickets for a total of $60. The school took in $44 on the second day by selling 5 adult tickets and 3 student tickets. What is the price of each one adult ticket and one student ticket?

Question

Donte Russell

Mathematics

27 October, 08:38

The school that Imani goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 adult tickets and 6 student tickets for a total of $60. The school took in $44 on the second day by selling 5 adult tickets and 3 student tickets. What is the price of each one adult ticket and one student ticket?

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Nyasia Graham · Answer 1

Two equations two unknowns

1. 3a + 6s = 60

2. 5a + 3s = 44

solve for a in 1, a = (60 - 6s) / 3 = 20 - 2s

substitute into 2

5 (20 - 2s) + 3s = 44

solve for s

s = 8

substitute in 1

a = 4