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:

$450.00 for 6 weeks

or

$300

step-by-step explanation:

$200.00 for first week $50.00 x5 equals $250 plus $200 equals $450.00 for six weeks.

$200 for first week

$200 x 0.10 = $20

$20 x 5 = $100

$200 + $100 = $300