What is the price of one adult tickets and one student ticket ?

Question

Jasmines school is selling tickets to a fall musical. On the first day of ticket sales the school sold 2 adult tickets and 2 student tickets for a total of $46. The school took in $156 on the second day by selling 6 adult tickets and 8 student tickets. What is the price each of one adult ticket and one student ticket ?

Answer 1

2A + 2S = 46 ---> A + S = 23 ---> S = 23 - A

6A + 8S = 156 ---> 3A + 4S = 78

3A + 4(23 - A) = 78

3A + 92 - 4A = 78

92 - A = 78

-A = -14

A = 14

S = 9

Adult ticket costs $14 while the student ticket costs $9

yes, it checks