Question

Of the 800 tickets sold to a movie, 450 were full-price tickets costing $7 each. If the gate receipts were $3,850, what did a student ticket cost?

Answer 1

$2

Step-by-step explanation:

Let the cost of a student's ticket be x.

If 800 tickets were sold and 450 tickets were full-price, therefore the total number of student's tickets = 800 - 450 =350.

We're told that each full-price ticket cost $7 each and the gate receipts were $3,850, our equation can then be written as;

`\begin{gathered} 350x+(450*7)=3850 \\ 350x+3150=3850 \\ 350x=3850-3150 \\ 350x=700 \\ x=(700)/(350) \\ \therefore x=2 \end{gathered}`