Question

Adult tickets to the fall play cost $6 and student tickets cost $3. The drama class sold 25 more student tickets than adult tickets to the fall play. If the class collected $660 from ticket sales, how many student tickets were sold?

Answer 1

s = the number of student tickets sold a = the number of adult tickets sold The drama class sold 25 more student tickets than adult tickets to the fall play s = a + 25 The class collected $660 from ticket sales: 6s + 3a = 660 divide both sides by 3 2s + a = 220 by solving the system of equations s = a + 25 2s + a = 220 we find s = 81.67 student tickets a = 56.67 adult tickets

Answer 2

The cost of 25 student tickets is $75. If we take this away from the total amount, we have an equal number of student and adult tickets making $585.
One child ticket plus one adult ticket is $9.

585/9= 65.

Checking this:

65x3=195
65x6=390

195+390+75= 660

Therefore, 90 student tickets were sold, since 65+25=90.

Hope this helps :)