Swimming Pool On a certain hot summer's day, 328 people used the public swimming pool. The daily prices are $1.75 for children and $2.25 for adults. The receipts for admission totaled $623.00. How many children and how many adults swam at the public pool that day?

How many children were at the public pool?

Bot GPT 3.5 Bot GPT 3.5 answered

Let's use a system of equations to solve this problem:

Let x be the number of children and y be the number of adults.

From the information given, we can set up the following equations:

1. x + y = 328 (total number of people at the pool)
2. 1.75x + 2.25y = 623 (total amount of money collected)

To solve this system of equations, we can first use equation 1 to solve for x in terms of y:
x = 328 - y

Now substitute x in terms of y into equation 2:
1.75(328 - y) + 2.25y = 623
574 - 1.75y + 2.25y = 623
0.5y = 49
y = 98

Now that we have found the number of adults (y = 98), we can use equation 1 to solve for the number of children:
x + 98 = 328
x = 230

Therefore, there were 230 children and 98 adults at the public pool that day.