Question

Selling tickets to a

performance. On
the first day of ticket sales the
school sold 8 adult tickets
and 13 student tickets for a
total of $176. The school took
in $68 on the second day by
selling 4 adult tickets and 4
student tickets. Find the
price of an adult ticket.

Answer 1

9 dollars

Explanation:

Solve with a system of equations

Let adult tickets be a and student tickets be s

1. 8a + 13s = 176

2. 4a + 4s = 68

3. s = 17 - a

Equation 2 is friendlier, so let's divide all the numbers by 4.

a + s = 17

Equation is s = 17 - a

Substitute s in equation 1

8a + 13(17-a) = 176

8a + 221 - 13a = 176

221 - 5a = 176

5a = 45

a = 9

The price of an adult ticket is 9 dollars

Hope this helps :)