Question

What is a system of equations for the following situation? A group of 12 people went to see a movie. The cost to go to the movie is $10 for an adult and $6 for a child. The total cost for the group was $100.

Answer 1

Answer:

5 children & 7 adults

Step-by-step explanation:

6a+10b=100$

a=5

b=7

(6×5)+(10×7)=30$+70$=100$

Answer 2

First define the variables:

c = amount of children

a = amount of adults

Next create the equations to satisfy the conditions:

1) Total group is 12 people:

$c+a=12$

2) Total cost is $100 with adults costing $10 and children being $6:

$6c+10a=100$