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.