Question

What is a system of equations for the following situation? A group of 14 people went to see a movie. The cost to go to the movie is $12 for an adult and $8 for a child. The total cost for the group was $144.

Answer 1

12x + 8 (14 - x ) = $ 144

x + (14-x) = 14

Explanation:

Total number of people = 14

Let the number of adults be x and the number of children be ( 14 - x)

Total cost for the group = $144

i.e., 12x + 8 ( 14-x) = 144

12x + 112 - 8x = 144

4x + 112 = 144

4x = 144-112

4x = 32

x = 32/4

x = 8

Number of adults = x = 8

Number of children = 14 - x = 14 - 8 = 6

Hope it helps : )

Answer 2

144=12x+8y

x+y=14

Explanation: