On a certain hot summer's day, 288 people used the public swimming pool. The daily prices are $ 1.75 for children and $ 2.25 for adults. The receipts for admission totaled $ 571.50 . How many children and how many adults swam at the public pool that day?

In-center of the triangle is point N.

Step-by-step explanation:

We are given a triangle △JKL.

In triangle △JKL, they drew perpendicular bisectors of each side of the triangle.

Also we are given angle bisectors of the each of angles in given triangle.

Note: Perpendicular bisector is a line that intersect a segment into two equal parts and also perpendicular to it.

Also note that the in-center is the point forming the origin of a circle inscribed inside the triangle. It is constructed by taking the intersection of the angle bisectors of the three vertices of the triangle.