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?
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.