Question

a movie theater sold 155 adult tickets and 230 childrens tickets to a movie in total the theater made 1285.50 in ticket sales Mrs.ramierez paid 53.75 for 2 adult tickets and 3 children. tickets. what is the cost of one adult ticket

Answer 1

a. Let the cost of an adult ticket be x and Let the cost of an children's ticket be y

We can deduce that;

`155x+230y=1285.5`

Also Mrs. Ramirez paid 53.75 for 2 adult tickets and 3 children tickets, so;

`2x+3y=53.75`

We can solve this simultaneously for x and y.

So, we have;

`\begin{gathered} 155x+230y=1285.5----i \\ 2x+3y=53.75\text{ ----i}i \end{gathered}`

Let's make x the subject of the relation, we have

`\begin{gathered} 2x=53.75-3y \\ x=(53.75-3y)/(2) \\ \end{gathered}`

Let us substitute this relation for x in equation i