Saturday night the movie theater sold 60 student tickets and 20 adult tickets earning $450. Sunday afternoon the movie theater sold 20 student tickets and 32 adult tickets earning $340. How much does a student tickets and an adult ticket cost?

Answer 1

Let S stand for student price and A for adult price.

60S + 20A = 450

20S + 32A = 340

Multiply second equation by 3.

60S + 96A = 1020

Subtract first equation from revised second.

76A = 570

A = $7.50

Insert value into first equation to find S.