Complete question:
Cody's school is selling tickets to the annual talent show. On the first day of ticket sales the school sold 7 senior citizen tickets and 14 student tickets for a total of 196 The school took in $104 on the second day by selling 5 senior citizen tickets and 6 student tickets What is the price each of one senior citizen ticket and one student ticket?
Answer :
Señior tickets = $10
Student ticket = $9
Explanation:
Let :
Senior ticket = x
Student ticket = y
7x + 14y = 196 - - - (1)
5x + 6y = 104 - - - (2)
Multiply (1) by 5 and (2) by 7
35x + 70y = 980 - - - (3)
35x + 42y = 728 - - - (4)
Subtract (3) and (4)
28y = 252
y = 252 / 28
y = 9
From (1)
7x + 14(9) = 196
7x + 126 = 196
7x = 70
x = 10
Hence,
Señior tickets = $10
Student ticket = $9