The movie theater sells child tickets for $1 and adult tickets for $2 during the matinee. regular admission is $4 for a child and $6 for an adult. if the matinee made $41 and regular made $158, how many children and adults went to the movies?

The were 35 child tickets sold and 3 adult tickets sold.

How did I get this?

First, let's look at what we know.

Matinee

(C) hild ticket = $1

(A) cult ticket = $2

Regular

(C) hild ticket = $4

(A) cult ticket = $6

2. We need to make two equations out of this:

1C + 2A = $41

4C + 6A = $158

The variables represent the amount of tickets, which is the unknown.

3. Process of elimination, multiply the first equation by - 3 because we want to cancel out one set of variables.

-3 (1C + 2A = 41)

-3C - 6A = - 123

4C + 6A = 158

C = 35 child tickets

Substitute the value c into any one of the equations

1 (35) + 2 (A) = $41

$35 + 2A = $41

Subtract both sides by $35.

2A = $6

Divide by 2

A = 3 adult tickets