Question

The admission fee at a water park is $25.00 for children and $35.00 for adults. Last Sunday, 2700 entered and the park made a total of $76,500.00. How many children and how many adults went to the park that day?

Answer 1

1,800 children and 900 adults.

Explanation:

Let's say that x represents the number of children in the park, and y represents the number of adults.

Each child costs $25 and each adult costs $35. Since the park made $76,500, 25x + 35y = 76,500.

The question also says that in total, 2,700 people entered the park, meaning that x + y = 2,700.

25x + 35y = 76,500

x + y = 2,700

-25(x + y = 2,700)

-25x - 25y = -67,500

25x + 35y = 76,500

-25x - 25y = -67,500

35y - 25y = 76,500 - 67,500

10y = 9,000

y = 900

Now that we have the number of adults that went to the park, we can find the number of children that went by substituting the value of y into the equation, x + y = 2,700.

x + 900 = 2,700

x = 1,800

So, 1,800 children and 900 adults went to the park that day. That's a lot!

Hope this helps!