If 700 tickets are sold in one day and the total revenue is $4500, how many tickets of each type are sold?

Question

a movie theater charges $7.50 admission for an adult and $5.00 for a child. 

Answer 1

let a be adult tickets, c child tickets

 

a + c =700

7.5a + 5c = 4500

 

a = 700-c

 

7.5(700-c) + 5c = 4500

5250 - 7.5c + 5c =4500

750 = 2.5c

c=300

 

a + 300 = 700

a = 400

 

To double check our work...

 

7.5(400) +5(300) = 4500

3000 + 1500 = 4500

4500 = 4500