Question

Sophia wrote an equation to represent the revenue of a movie theater for one day. She let x represent the number of child tickets sold and y represent the number of adult tickets sold. If a child ticket costs $4, an adult ticket costs $6, and the total revenue for the day was $420, which equation could Sophia use to represent the number of child and adult tickets that were sold? mc009-1.jpg mc009-2.jpg mc009-3.jpg mc009-4.jpg

Answer 1

The total revenue that is obtained from selling the tickets is the sum of the revenue from selling the child tickets and the adult tickets. If x and y are the number of child and adult ticket, the equation that would represent the given is,
                                   4x + 6y = 420
The equation that would allow us to solve for the number of adult tickets is,
                                        6y = 420 - 4x
Simplifying,
                                         y = 70 - 2x/3