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 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 1

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

Step-by-step 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