Question

Nicoles school is delling tickets to a play. On the first day of ticket sales the school sold 6 senior citizen tickets and 10 student tickets for a total of $124. The school took in 98 on the second day by selling 12 senior citizen tickets and 5 student tickets. What is the price each of one senior citizen ticket and one student ticket?

Answer 1

Answer:the price of one senior citizen's ticket is $4

the price of one student ticket is $10

Step-by-step explanation:

Let x represent the price of one senior citizen's ticket

Let y represent the price of one student ticket.

On the first day of ticket sales the school sold 6 senior citizen tickets and 10 student tickets for a total of $124. This means that

6x + 10y = 124 - - - - - - - - - - 1

The school took in 98 on the second day by selling 12 senior citizen tickets and 5 student tickets. This means that

12x + 5y = 98 - - - - - - - - - - - 2

Multiplying equation 1 by 2 and equation 2 by 1, it becomes

12x + 20y = 248

12x + 5y = 98

Subtracting, it becomes

15y = 150

y = 150/15 = 10

Substituting y = 10 into equation 1, it becomes

6x + 10 × 10= 124

6x + 100 = 124

6x = 124 - 100 = 24

x = 24/6 = 4