Question

At the movie theatre, child admission is $5.20 and adult admission is $8.30. On Wednesday, twice as many adult tickets as child tickets were sold, for a total sales of $719.40. How many child tickets were sold that day?

Answer 1

To find the number of child tickets sold at the movie theatre, we set up an equation using the given prices and total sales, leading to the conclusion that 33 child tickets were sold.

Step-by-step explanation:

The student has asked for help determining how many child tickets were sold at a movie theatre given certain conditions.

Step-by-step solution:

Let the number of child tickets be c and the number of adult tickets be 2c (since it's twice the amount of child tickets).

The total cost of child tickets is 5.20c and the total cost of adult tickets is 8.30(2c).

So the equation based on the total sales is: 5.20c + 8.30(2c) = 719.40.

Solving the equation: 5.20c + 16.60c = 719.40 leads to 21.80c = 719.40.

Divide both sides by 21.80 to find the number of child tickets: c = 719.40 / 21.80.

Calculating the division gives us: c = 33.

Therefore, 33 child tickets were sold that day at the movie theatre.