Varsity Basketball Game

Question

To watch a varsity basketball game, spectators must buy a ticket at the door. The cost of an adult ticket is $3.00 and the cost of a student ticket is $1.50. If the number of adult tickets sold was 26 less then the number of student tickets. The total sales amount is $939 how many of the each type of ticket was sold?

Answer 1

3a +1.5s = 939

a =s -26

3(s-26) + 1.5s= 939

3s -78 +1.5s = 939

4.5s = 1,017

s = 1017/4.5 = 10170/45 = 2034/9 = 226 student tickets sold

a = 26 less = 200 adult tickets sold

3(200) + 1.5(226) = 600 + 339 = 939