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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.

 Mar 27, 2021
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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.

 Mar 27, 2021

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