Question

The ballpark made a total of $15,000 from ticket sales at Wednesday's game. The ballpark

charges $20 for each adult ticket and $10 for each child's ticket. They sold 3 times as many
children's tickets as adult tickets.
Write a system of equations that can be used to determine the number of adult ar
child tickets sold.​

Answer 1

The number of adult tickets sold was 300 and that of child's ticket sold is 900.

Explanation:

Let us assume that the ticket sales at Wednesday's game are x number adult and y number child's tickets.

Therefore, as per given conditions, we can write, y = 3x .......... (1)

Again, each adult ticket cost $20 and each child's ticket costs $10 and there was a $15000 ticket sale.

So, 20x + 10y = 15000

⇒ 2x + y = 1500 ......... (2)

Now, solving equations (1) and (2) we get,

2x + 3x = 1500

⇒ 5x = 1500

⇒ x = 300 and y = 3x = 900

Therefore, the number of adult tickets sold was 300 and that of child's ticket sold is 900. (Answer)