Answer :

Answer:  120

Explanation

The "cat" portion of the pie chart takes up 123° of a full 360° circle.

Roughly 123/360 = 0.3416667 = 34.16667% of the circle's area is labeled "cat".

n = number of children

0.3416667n = 41 children pick cats as their favorite.

n = 41/0.3416667 = 119.9999882927 approximately

This rounds to 120 children total.

(123/360)*120 = 41 exactly which helps confirm the answer is correct.