Answer:
<u>118</u> children and <u>251</u> 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.
<u>Let the number of children be </u><u />
<u>And let the number of adults be </u><u />
So, total number of people used the swimming pool:
Now, the total price for admission:
Substituting the value of from equation (1) we get:
<em>Subtracting both sides by 461.25 we get:</em>
<em /><em />
<em>Dividing both sides by 1.25 we get:</em>
<em /><em />
<em>The number of adults = 251.</em>
Substituting the value of in equation (1) we get:
<em>The number of children = 118.</em>
Therefore, 118 children and 251 adults swam at the public pool that day.