Question

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?

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