You sold a total of 56 student and adult tickets for a total of $328. Student tickets cost $5 and adult tickets cost $8. How many student tickets were sold?

Respuesta :

Answer:

The number of student ticket sold is 40

Step-by-step explanation:

Given;

total number of tickets sold,= 56 tickets

total amount the tickets were sold, = $328.

cost of student tickets, = $5

cost of adult ticket,  = $8

Let the number of student ticket sold = x

Let the number of adult ticket sold = y

To determine the number of student tickets sold, we will have the following equations;

x + y = 56 ------ equation (1)

5x + 8y = 328 -----equation (2)

from equation (1), y = 56 - x

Substitute the value of y in equation (2);

5x + 8y = 328

5x + 8(56 - x) = 328

5x + 448 - 8x = 328

5x - 8x = 328 - 448

- 3x = - 120

x = 120 / 3

x = 40

Therefore, the number of student ticket sold is 40