The school drama club is selling tickets to a play. Adult tickets cost 6 dollars and child ticket cost 4 dollars. A total of 450 tickets were sold to the play. The total revenue of 2,450 dollars was earned from sales of the tickets. Determine the number of adult and child tickets that were sold for the play.

Guest Mar 27, 2021

#1**+1 **

Let c represent the number of child tickets sold;

Let a represent the number of adult tickets sold.

We know:

c + a = 450

a = 450 - c

and

6a + 4c = 2450

3a + 2c = 1225

Now, using substitution:

3a + 2c = 1225

3(450 - c) + 2c = 1225

1350 - 3c + 2c = 1225

-c = -125

c = 125

a = 450 - c

a = 450 - (125)

a = 325

Therefore **125 child tickets **and **325 adult tickets **were sold.

ArithmeticBrains1234 Mar 27, 2021