Question

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?

About to fail math willing to take any answers lol

Answer 1

The Glee Club sold 90 Adult tickets.

Explanation:

Let the number of Student ticket be x.

Let the number of Adult ticket be y.

Total Number of ticket sold is 150.

Hence,

Total Number of ticket = number of Student ticket + the number of Adult ticket

`x+y=150 \ \ \ \ equation\ 1`

Also Given;

Student tickets cost $5.00 each.

Adult tickets cost $8.00 each.

Ticket Sales is $1,020.

hence,

`5x+8y=1020 \ \ \ \ equation\ 2`

Now Multiplying equation 1 by 5 we get.

`5*(x+y)= 5*150\\5x+5y=750\ \ \ \ equation \ 3`

Now Subtracting equation 2 from equation 3 we get;

`(5x+8y=1020)-(5x+5y=750)\\\\3y = 270\\y= (270)/(3)= 90`

Number of adult ticket sold is 90.

Also
`x+y=150\\x+90=150\\x=150-90=60`

Number of Student ticket sold is 60.

Hence, The Glee Club sold 90 Adult tickets.