👤
Answered

Two groups of people went to see Iron Man 3
in IMAX 3-D. The first group spent $73.50 on
two adult and three children tickets. The other
group spent $109.50 on five adult and two
children tickets. What is the cost of one adult
ticket?

Answer :

TatsuyaDittago

Answer:

x = 16.5

Step-by-step explanation:

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

Go Teaching: Other Questions