Question

Briana’s family spent $134 on 2 adult tickets and 3 youth tickets at an amusement park. Max’s family spent $146 on 3 adult tickets and 2 youth tickets. What is the price of each adult and youth ticket?

Answer 1

2x + 3y = $134
3x + 2y = $146

2y = 146 - 3x
y = 73 - 1.5x

2x + 3(73 - 1.5x) = 134
2x + 219 - 4.5 x = 134
-1.5x = - 85
x = $56

An adult ticket - $56

A youth ticket - 56 x 2 + 3y = 134
112 + 3y = 134
y = 7.3
$7.3