Question

A family purchased tickets to the movies and spent a total of $40.75. The family purchased 5 tickets. There was a $0.90 processing fee for each ticket. Write and solve an equation that can be used to find x, the cost of one ticket to the movies. Show your work or explain your answer.

Answer 1

To calculate the cost of one movie ticket, set up an equation where 5x + 5(0.90) = 40.75, solve for x, and find that one ticket costs $7.25.

Step-by-step explanation:

To find the cost of one movie ticket, we can set up an equation based on the total cost and the number of tickets purchased. Let x be the cost of one movie ticket. The family bought 5 tickets and spent a total of $40.75, including a $0.90 processing fee for each ticket. Therefore, the equation is:

5x + 5(0.90) = 40.75

Now, we solve for x:

1. Multiply the processing fee by the number of tickets: 5(0.90) = 4.50
2. Subtract the total processing fee from the total cost: 40.75 - 4.50 = 36.25
3. Divide the remaining amount by the number of tickets to find the cost per ticket: 36.25 / 5 = 7.25

Thus, the cost of one ticket to the movies is $7.25.