Question

Find the total number of child and adult tickets sold given that the cost of a ticket to a basketball game is $25.00 for children and $50.00 for adults. Additionally, on a certain day, attendance at the game is 2,000 and the total gate revenue is $70,000.

Answer 1

The answer to your question is:

1200 children and 800 adults

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