Question

Tammy is selling tickets for the school jazz band concert. Adult tickets cost $5, and student tickets cost $3. If

Tammy sells a total of 130 tickets and collects $462, how many of each kind ofticket did she sell?

Answer 1

36 adult and 94 student tickets

Explanation:

x = adult ticket y = student ticket

5x + 3y = 462

x + y = 130

x + y = 130

y = 130 - x

5x + 3y = 462

5x + 3(130 - x) = 462

5x + 390 - 3x = 462

2x + 390 = 462

2x = 72

x = 36

x + y = 130

36 + y = 130

y = 94