10. On a certain hot summer day 481 people used the public swimming pool The daily prices are 1.25 for children and 2.25 for adults. The receipts for admission totaled 865.25 .How many children and how many adults swam at the public pool that day?

Question

Answer 1

Let's denote the number of children as

and the number of adults as

. We can set up a system of linear equations based on the given information:1. The total number of people is 481:

2. The total amount of money collected is

Now, let's solve this system of equations step by step.First, solve the first equation for $x

Next, substitute this expression for $x

Simplify and solve for $y

So, there were 265 adults.Now, substitute $y = 265

x$:

Therefore, there were 216 children and 265 adults who swam at the public pool that day.

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