On a certain hot summer's day, 661 people used the public swimming pool. The daily prices are $ 1.50 for children and $ 2.00 for adults. The receipts for admission totaled $ 1123.00 . How many children and how many adults swam at the public pool that day?

398 children

263 adults

Step-by-step explanation:

Let the number of children be x and adults y. From the total attendance, we can write equation as x+y=661 hence y=661-x

Also, considering the charges then 1.5x+2y=1123

Replacing y with 661-x then

1.5x+2(661-x)=1123

1.5x-2x+1322=1123

0.5x=199

X=398

Y=661-x=661-398=263

Therefore, children were 398 and adults 263