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?

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

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation: