The northwest high school senior class decided to host a raffle to raise money for their senior trip. they charged $2 for each student raffle ticket and $5 for each adult raffle ticket and they raised $2,686 from ticket sales. if adults bought 3 times as many tickets as students, how many tickets did the senior class sell? 2x + 5y = 2,686 y = 3x northwest high school’s senior class sold raffle tickets.

Let  be the tickets that the adults bought, and be the tickets that children bought.
From the problem we have the system of linear equations:


The first thing we are going to do to solve our system, is replacing equation (2) in equation (1), and  then, solve for 







Now that we have the number of tickets that the adults bought, lets replace that value in equation (2):




Last but not least, to find the total number of tickets, we are going to add  and :


We can conclude that Northwest High School's senior class sold 632 raffle tickets.