Question

(Read the problem and make a system, then solve the system using elimination and give me the solution)

The local theater is showing a matinee and offering a special deal for the community. A ticket for an adult costs $11 and a ticket for a child costs $6. The theater sells a total of 60 tickets and collects $460. How many adult tickets x and children tickets y are sold?

Answer 1

• 20 adult tickets and 40 child tickets

Explanation:

• Adult tickets - x
• Child tickets - y

Equations:

• x + y = 60
• 11x + 6y = 460

Eliminate y by multiplying the first equation by 6 and subtracting from the second one, solve for x:

• 11x + 6y - 6x - 6y = 460 - 6*60
• 5x = 100
• x = 20

Find y:

• y = 60 - x
• y = 60 - 20 = 40