The Glee Club sold a total of 150 tickets to their spring concert. Student tickets cost $5.00 each and adult tickets cost $8.00 each. If they had $1,020 in ticket sales, how many adult tickets did they sell?

Respuesta :

Answer: 60 student tickets were sold

90 adult tickets were sold

Step-by-step explanation:

Let x represent the total number of student tickets sold.

Let y represent the total number of adult tickets sold.

The Glee Club sold a total of 150 tickets to their spring concert. This means that

x + y = 150

x = 150 - y

Student tickets cost $5.00 each and adult tickets cost $8.00 each. If they had $1,020 in ticket sales,then,

5x + 8y = 1020 - - - - - -1

Substituting x = 150 - y into equation 1, it becomes

5(150 - y) + 8y = 1020

750 - 5y + 8y = 1020

- 5y + 8y = 1020 - 750

3y = 270

y = 270/3 = 90

x = 150 - 90 = 60