Problema Solution

Use 5 step method:

Adult tickets for a play cost $25 each and children's tickets cost $15 each. The total receipts were $7200 and the total attendance was 400.

How many adults and how many children attended?

Answer provided by our tutors

a + c = 400

25a + 15c = 7200

 

a = 400 - c

 

25(400 - c) + 15c = 7200

10000 -  25c + 15c = 7200

10000 - 10c = 7200

-10c = -2800

c = 280

 

a = 400 - c 

a = 400 - 280

a = 120

 

so 120 adult tickets and 280 childrens tickets were sold