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

Answer:

The Glee Club sold 90 Adult tickets.

Step-by-step 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.

$5\times(x+y)= 5\times150\\5x+5y=750\ \ \ \ equation \ 3$

Now Subtracting equation 2 from equation 3 we get;

$(5x+8y=1020)-(5x+5y=750)\\\\3y = 270\\y= \frac{270}{3}= 90$

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.