Find the price of an adult ticket and the price of a student ticket.

Question

The school that stefan goes to is selling tickets to a spring musical. On the first day of ticket sales the school sold 1 adult ticket and 12 student tickets for a total of $72. The school took in $186 on the second day by selling 13 adult tickets and 6 student tickets. Find the price of an adult ticket and the price of a student ticket.

Answer 1

Better to use substitution:

a = 72 - 12s

13(72 - 12s) + 6s = 186

936 - 156s + 6s = 186

-150s = -750

s = $5.00. Etc.

Answer 2

Make a system of equations

a+12s = 72

13a+6s = 186

By doubling the second equation, we can eliminate the variable "s" to solve for "a":

a+12s = 72

26a+12s = 372

-25a = -300

a = 12 <-- So, 1 adult ticket costs $12

a+12s = 72 <-- Plug a=12 back into first equation to find "s"

12+12s = 72

12s = 60

s = 5 <-- Therefore, 1 student ticket costs $5

The price of an adult ticket is $12 and the price of a student ticket is $5

Hope this helped!