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?

217 children and 264 adults swam in the pool that day.

Step-by-step explanation:

Let x represent the number of children that used the public swimming pool that day.

Let y represent the number of adults that used the public swimming pool that day.

On a certain hot summer day,481 people used the public swimming pool. This means that

x + y = 481

The daily prices are 1.25 for children and 2.25 for adults. The receipts for admission totaled 865.25. This means that

1.25x + 2.25y = 865.25 - - - - - - - - -1

Substituting x = 481 - y into equation 1, it becomes

1.25(481 - y) + 2.25y = 865.25

601.25 - 1.25y + 2.25y = 865.25

- 1.25y + 2.25y = 865.25 - 601.25

y = 264

x = 481 - y = 481 - 264

x = 217