On a certain hot summer's day, 369 people used the public swimming pool. The daily prices are $ 1.25 for children and $ 2.50 for adults. The receipts for admission totaled $ 775.00 . How many children and how many adults swam at the public pool that day?

118 children and 251 adults swam at the public pool that day.

Step-by-step explanation:

Given:

On a certain hot summer's day, 369 people used the public swimming pool. The daily prices are $ 1.25 for children and $ 2.50 for adults. The receipts for admission totaled $ 775.00.

Now, to find the number of children and adults swam at the public pool that day.

Let the number of children be

And let the number of adults be

So, total number of people used the swimming pool:

Now, the total price for admission:

Substituting the value of from equation (1) we get:

Subtracting both sides by 461.25 we get:

Dividing both sides by 1.25 we get:

The number of adults = 251.

Substituting the value of in equation (1) we get:

The number of children = 118.

Therefore, 118 children and 251 adults swam at the public pool that day.

they are simplified

step-by-step explanation: