Question 1155419

A play was attended by 320 people. Regular tickets were $15 each, while student tickets were priced at $10.  The total receipts were $4,200. Set up a system of linear equations in order to determine how many of each types of tickets were sold
<pre>Let regular and student tickets be r and s, respectively
Then we get: r + s = 320___r = 320 - s ------- eq (i)
Also, 15r + 10s = 4,200_____5(3r + 2s) = 5(840)______3r + 2s = 840 ------ eq (ii)
3(320 - s) + 2s = 840 ------ Substituting 320 - s for r in eq (ii)
960 - 3s + 2s = 840
- s = 840 - 960
- s = - 120
s, or {{{highlight_green(matrix(1,7, Number, of, student-tickets, "=", (- 120)/(- 1), "=", 120))}}}
You should be able to find the number of regular tickets sold!