Question

Two groups of people went to see Avatar in IMAX 3D. The first group spent $73.50 on two adult and
threechildren tickets. The othergroup spent $109.50 on five adult and two children tickets. What is
the cost for each type of ticket?

Answer 1

2x + 3y = 73.50
5x + 2y = 109.50

(2x + 3y = 73.5) -5
(5x + 2y = 109.5) 2

-10x - 15y = -367.5
 10x + 4y =219

-11y = -148.5
y = 13.5

2x + 3(13.5) = 73.50
2x + 40.5 = 73.5
2x = 73.5 - 40.5
2x = 33
x = 16.5