# 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? ##### 1 Answer Aug 6, 2015 The school sold 371 tickets for students and 566 tickets for non-students. #### Explanation: Let's say that the number of tickets sold to students is $x$and the number of tickets sold to non-students is $y$. You know that the school sold a total of 937 tickets, which means that you can write $x + y = 937$You also know that the total sum collected from selling these tickets is equal to$3943, so you can write

$3 \cdot x + 5 \cdot y = 3943$

Use the first equation to write $x$ as a function of $y$

$x = 937 - y$

Plug this into the second equation and solve for $y$ to get

$3 \cdot \left(937 - y\right) + 5 y = 3943$

$2811 - 3 y + 5 y = 3943$

$2 y = 1132 \implies y = \frac{1132}{2} = \textcolor{g r e e n}{\text{566 tickets}}$

This means that $x$ will be equal to

$x = 937 - 566 = \textcolor{g r e e n}{\text{371 tickets}}$

The school thus sold 371 tickets for students and 566 tickets for non-students.