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.

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:

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

a=24; b=12

step-by-step explanation:

a/b=2: 1

a=2b

36/(1+2)=12

b=12

a=24

step-by-step explanation:

step 1: solve one of the equations for one of the variables. let's solve the first equation for y:

step 2: substitute that equation into the other equation, and solve for x.

step 3: substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.