Question

Adult tickets to the fall play cost $8 and student tickets cost $4. The drama class sold 20 more adult tickets han student tickets to the fall play. to If the

class collected $880 from ticket sales, how many adult tickets were sold?
The drama class sold
adult tickets.
The solution

Answer 1

80

Explanation:

Let the number of adult tickets sold be a and the number of student tickets sold be s.

• "The drama class sold 20 more adult tickets han student tickets to the fall play." means that a-20=s.
• "the class collected $880 from ticket sales" means that 8a+4s=880, which is the same as 2a+s=220.

Substituting the first equation into the second,

`2a+a-20=220 \\ \\ 3a-20=220 \\ \\ 3a=240 \\ \\ a=80`