Question

A family recreational event runs a promotion in which adult tickets sell for $7 per person while those between the age of twelve and eighteen are admitted from two dollars less than adults. Children under the age of 12 are admitted at half the adult price. How much did the event make if it sold 103 adult tickets, 129 tickets to those between age twelve and eighteen, and twice as many adult tickets for those under the age of twelve? You only need to enter the final dollar value. However, you do not need to put any label on the value. Round to the nearest cent if necessary.

Answer 1

The event made a total of $2087 from selling adult, youth, and children's tickets by determining individual ticket costs and multiplying by the number of tickets sold in each category.

Step-by-step explanation:

To calculate the total money made from ticket sales, we need to determine the cost of each ticket type and then multiply by the number of tickets sold. The adult tickets are priced at $7 each, and for those between the ages of twelve and eighteen, the tickets are $5 each ($2 less than adults). Children under the age of 12 have tickets at half the adult ticket price, which is $3.50 ($7 divided by 2). Finally, we are given that twice as many adult tickets were sold for those under the age of twelve.

The total for adult tickets is 103 tickets × $7 = $721. The total sales for those between twelve and eighteen is 129 tickets × $5 = $645. Since twice as many tickets were sold for children under twelve as adult tickets, we have 2 × 103 = 206 tickets for children, the sales from which are 206 tickets × $3.50 = $721. Adding all these sums together, the total money made is $721 (adult) + $645 (youth) + $721 (children) = $2087.