1474 concert tickets were sold for a total of ​$24,951. If students paid ​$13 and nonstudents paid ​$20​, how many student tickets were​ sold?

Answer 1

13s +20n = 24951

s + n = 1474

multiply by13

13s +13n = 13(1474) =19162

subtract

20n-13n = 24951-19162

7n = 5789

n = 5789/7 = 827 non students

s = 1474-827 =647 students

13(647)+20(827)

=8411+16540

= 24951