The cost of a ticket to the circus is $25.00 for children and $50.00 for adults. on a certain day, attendance at the circus is 2,000 and the total gate revenue is $70,000. how many children and how many adults bought tickets?

The answer to your question is:

1200 children and 800 adults

Step-by-step explanation:

Data

Children = $ 25   = c

Adults = $ 50    = a

Attendance = 2000

Revenue = $70000

# of children and adults.

                                            c  +   a   = 2000          (I)

                                       25c + 50a  = 70000        (II)

Multiply I by -25

                                    -25 c  - 25 a = -50000

                                     25c   + 50a =   70000

                                                 25a = 20000

                                                     a = 800

                                         c + 800 = 2000

                                         c = 2000 - 800

                                         c = 1200