Akira and Jen are competing to see who can sell the most tickets for the Winter Dance. On Monday, Akira sold 20 and then sold 30 per day after that. Jen sold 50 on Monday and then sold 20 per day after that. This situation can be represented with the system y=30x+20 and y=20x+50 , where x is the number of days after the first day, and y is the total tickets sold. After how many days did they sell the same
number of tickets?
The two equations can be set equal to each other and solved for x:
30x + 20 = 20x + 50
10x = 30
x = 3
Therefore, they sold the same number of tickets after 3 days.