How many tickets were sold that day?

Question

At the movie theatre, child admission is
$5.70
and adult admission is
$9.30
. On Friday,
168
tickets were sold for a total sales of
$1220.40
. How many child tickets were sold that day?

Answer 1

 

 

 

 

 

 

 

 

 

Let c = # child tickets sold

Let a = # adult tickets sold

 

168 tickets were sold:

c + a = 168    {equation 1}

 

child tickets cost $5.70, adult tickets cost $9.30, total sales $1220.40:

5.7c + 9.3a = 1220.4   {equation 2}

 

From equation 1 solve for one variable in terms of the other.

c = 168 - a

 

Substitute that in place of c in equation 2 and solve for a

5.7(168-a) + 9.3a = 1220.4

 

Solve this equation to find the number of adult tickets sold.

Then plug that value into c = 168-a  to find number of child tickets.