Tickets for your schools play are $3 for students and $5 for non-students. On opening night 937 tickets are sold & $3943 is collected. How many tickets were sold to students and non students?
The school sold 371 tickets for students and 566 tickets for non-students.
Let's say that the number of tickets sold to students is
You know that the school sold a total of 937 tickets, which means that you can write
You also know that the total sum collected from selling these tickets is equal to $3943, so you can write
Use the first equation to write
Plug this into the second equation and solve for
This means that
The school thus sold 371 tickets for students and 566 tickets for non-students.