Question

The school That Darryl goes to is selling tickets to a choral performance on the first day of ticket sales the school sold nine adult tickets and six students ticket for a total of $165 the school took $105 on the second day by Selling three adult tickets and 12 student tickets what is the price of each one adult ticket And student ticket

Answer 1

Answer:the price of one adult ticket is $15

the price of one student ticket is $5

Step-by-step explanation:

Let x represent the price of one adult ticket.

Let y represent the price of one student ticket.

On the first day of ticket sales, the school sold nine adult tickets and six students ticket for a total of $165. This means that

9x + 6y = 165 - - - - - - - - -1

The school took $105 on the second day by Selling three adult tickets and 12 student tickets. This means that

3x + 12y = 105 - - - - - - - - - 2

Multiplying equation 1 by 3 and equation 2 by 9, it becomes

27x + 18y = 495

27y + 108y = 945

Subtracting, it becomes

- 90y = - 450

y = - 450/- 90

y = $5

Substituting y = 5 into equation 1, it becomes

9x + 6 × 5 = 165

9x + 30 = 165

9x = 165 - 30 = 135

x = 135/9 = $15