Question

1000 tickets were sold for a school play. The regular price tickets were $5. Tickets for reserved seating was $2 more. The box office took in a total of $5300. How many tickets of each type were sold?

Answer 1

To find the number of regular and reserved tickets sold, we can set up and solve an equation based on the given information.

Step-by-step explanation:

Let's assume that the number of regular price tickets sold is x. Since the price of a regular ticket is $5, the total revenue from regular tickets is 5x.

The number of tickets sold for reserved seating would be (1000 - x) since the sum of regular and reserved tickets sold should equal 1000. The price of a reserved ticket is $2 more than a regular ticket, so the total revenue from reserved tickets is 7(1000 - x).

The total revenue from ticket sales is given as $5300. Therefore, we can set up the equation: 5x + 7(1000 - x) = 5300. Solving this equation will give us the number of regular and reserved tickets sold.