I need help with this word problem. I don’t know how to solve it correctly

Question

The school that Scott goes to is selling tickets to a play. On the first day of ticket sales the school sold 9 adult tickets and 4 student tickets for a total of $177. The school took in $73 on the second day by selling 1 adult ticket and 4 student tickets. Find the price of an adult ticket and the price of a student ticket.

Price of an adult ticket $

Price of a child's ticket $

Answer 1

9A + 4S = 177

A + 4S = 73 subtract 2nd equation from the 1st to eliminate one variable

8A = 104 divide both sides by 8

A = 104/8 = $13 for an adult ticket

4S = 73=13 = 60

S = 60/4 = $15 for a student ticket

(strange. Usually adult tickets are priced higher, as the adults have higher income. Standard price discrimination. although the students are most likely having their tickets paid by their parents, so that works both ways. Maybe you can squeeze more money out of the parents by charging their children a higher price)