Question

Teresa bought 15 tickets to a play. Child tickets cost $5 each, and adult tickets cost $8 each. She paid $90 altogether. Write the equation you would use to find the total cost.

a. 15x = 90
b. 5x + 8x = 90
c. 15 + 8 = 90
d. 5 + 8 = 15

Answer 1

To determine the total cost for the tickets Teresa bought, we need to use a system of equations: 5c + 8a = 90 for the cost and c + a = 15 for the number of tickets, where 'c' is the number of child tickets and 'a' is the number of adult tickets. None of the provided answer options are correct.

Step-by-step explanation:

The question involves setting up an equation to solve a classic algebra word problem. To find out the correct equation for the total cost Teresa paid for the play tickets, we need to consider the number of child tickets and adult tickets separately. Let 'c' represent the number of child tickets and 'a' represent the number of adult tickets. Given the child tickets cost $5 each, and adult tickets cost $8 each, and Teresa bought a total of 15 tickets for a total cost of $90, we can establish the following system of equations:

• 5c + 8a = 90 (Total cost equation)
• c + a = 15 (Total number of tickets equation)

Therefore, none of the answer options provided directly represents the correct system of equations. Instead, we have to consider two equations to represent the situation accurately.