a movie theatre charges $4.50 for a child's ticket and $8.00 for an adults ticket.

Question

The theatre had $1090 in receipts for 180 people for one night, How many children tickets and how many adults tickets were sold?

algebra word problems. use (let = ) statements

Answer 1

Let C be the number of child's tickets sold and A be the number of adult tickets sold.

 

Since the total sold was 180 tickets; C + A = 180; our first equation 

 

Since the theater charges $4.5 per child's ticket and $8 for an adult ticket and there were $1090 in total receipts

 

4.5C + 8A = $1090

 

Solving first equation for A yields: A=180 - C

 

Substitute the value of A into the second equation

 

4.5C + 8 * (180-C) = $1090

 

4.5C + 8*180 - 8*C = 1090

 

-3.5C + 1440 = 1090

 

-3.5C = 1090 - 1440

 

-3.5C = -350

 

C = 100

 

Therefore A = 180 - C= 180 - 100 = 80; or they sold 100 children's tickets and 80 adult tickets,

 

Hope this helps.

 

Walter