Problema Solution

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 adult tickets were sold?

The drama class sold _____ student tickets.

Answer provided by our tutors

Let


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



Click to see all the steps



Since the number of tickets needs to be integer numbers there might be some mistake with the numbers in the problem.