the cinema sold 600 tickets total. adults tickets were $15 and childrens tickets were $8. they made a total of $7740. how much of each ticket were sold?

Answer 1

a = number of adults

c = number of childrens

number of adults + number of childrens = 600 total

a + c = 600

a * 15 $ + c * 8 $ = 7740 $

15 a + 8 c = 7740

Now you must solve system of two equations:

a + c = 600

15 a + 8 c = 7740

The solutions are :

a = 420

c = 180

420 adults

and

180 childrens

Proof :

420 * 15 $ + 180 * 8 $ =

6300 $ + 1440 $ = 7440 $