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.
+91 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.
