Question

At the movie theatre, child admission is $5.30 and adult admission is $9.40 . On Wednesday, four times as many adult tickets as child tickets were sold, for a total sales of $1544.40 . How many child tickets were sold that day?

Answer 1

Well, what you can do is divide both of them by $1544.40, and then figure out how many their were that day

Answer 2

Let x be the number of child tickets sold on Wednesday. You can get
child tickets sales by multiplying the number of tickets sold by the
price of a child ticket: child tickets sales equals x times $5.30.

On the other hand, the number of adult tickets sold will be 4x (four
times as many adult tickets as child tickets). Once again, you can
compute adult tickets sales by multiplying the price of every ticket
by the number of tickets. Hence, adult tickets sales equals 4x times
$9.40.

Total sales are computed by adding up child tickets sales and adult
tickets sales. Knowing that total sales were $1544.40, you can write:

5.30x + 9.40(4x) = 1544.40

Last, we will solve the above equation. First, evaluate the product
9.40 times 4, which equals 37.60:

5.30x + 37.60x = 1544.40

Next, reduce the two terms of the first member of the equation:

(5.30 + 37.60)x = 1544.40
42.9x = 1544.40

Finally, divide both terms of the equation by 42.9:

$\frac{42.9 x}{42.9} = \frac{1544.40}{42.9}$

x = 36

So, 36 child tickets were sold that day.