Arjun's school is selling tickets to a fall musical. On the first day of ticket sales the school sold 8 senior citizen tickets and 9 student tickets for a total of $169. The school took in $149 on the second day by selling 7 senior citizen tickets and 8 student tickets. What is the price each of one senior citizen ticket and one student ticket? Explain?
Let the price of a senior citizen's ticket = N
Let the price of a student's ticket = S
8N + 9S =169.......................(1)
7N + 8S =149.......................(2), solve for N, S
N = $11.00 price of senior citizen's ticket
S =$9.00 price of a student's ticket.
+23246 Let x = price of one senior citizen ticket.
Let y = price of one student ticket.
8x + 9y = 169 ---> (multiply by 8) ---> 64x + 72y = 1352
7x + 8y = 149 ---> (multiply by -9) ---> -63x - 72y = -1341
(adding down the columns) ---> x = 11 <--- cost of one senior citizen ticket.
Since x = 11 ---> 8x + 9y = 169 ---> 8(11) + 9y = 169 ---> 88 + 9y = 169
(subtracting 88 from both sides) 9y = 81
cost of one student ticket ---> y = 9
