Question

Kim's school is selling tickets for a play. On the first day of ticket sales the school sold 7 seniors citizen tickets and 14 student tickets for a total of $133. The school took in $89 on the second day by selling 8 senior citizen tickets and 7 student tickets. Find the price of a senior citizen ticket and the price of a student tickets.

Answer 1

Answer:the price of a senior citizen's ticket is $5

the price of a student tickets is $7

Step-by-step explanation:

Let x represent the price of a senior citizen's ticket.

Let y represent the price of a student tickets.

On the first day of ticket sales the school sold 7 seniors citizen tickets and 14 student tickets for a total of $133. This means that

7x + 14y = 133 - - - - - - - - - - 1

The school took in $89 on the second day by selling 8 senior citizen tickets and 7 student tickets. This means that

8x + 7y = 89 - - - - - - - - - - -2

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

7x + 14y = 133

16x + 14y = 178

Subtracting, it becomes

- 9x = - 45

x = - 45/-9

x = 5

Substituting x = 5 into equation 2, it becomes

8 × 5 + 7y = 89

40 + 7y = 89

7y = 89 - 40 = 49

y = 49/7 = 7