movie tickets

Question

At the movie theatre, child admission is $6.10
and adult admission is $9.80. On Monday,
133 tickets were sold for a total sales of
$1007.40. How many child tickets were sold that day?

Answer 1

Let C = the number of children tickets

Let A = the number of adult tickets

 

Using these variables, we can set equations that represent the total number of tickets and total cost.

 

A + C = 133                                eq1

9.80A + 6.10C = 1007.40            eq2

 

 

Substitute eq1 into eq2 to get eq2 in terms of C, since we are only interested in finding the number of children's tickets.

 

9.80(133 - C) + 6.10C = 1007.40

 

 

Solve for C from this new equation.

 

 

1303.40 - 9.80C + 6.10C = 1007.40

 

-3.70C = -296

 

        C = 80

 

80 children tickets were sold on that day.