13.038. In three sections of a sports school, there were 96 athletes. The number of members in the speed skating section was 0.8 of the number of members in the skiing section, and the number of members in the hockey section was $33 \frac{1}{3} \%$ of the total number of members of the first two sections. How many athletes were in each section?
Solution.

Let $x$ people be the number of members in the skiing section; $0.8 x$ people be the number of members in the skating section; $\frac{33 \frac{1}{3}}{100}(x+0.8 x)$ people be the number of members in the hockey section. According to the condition, $x+0.8 x+\frac{33 \frac{1}{3}}{100}(x+0.8 x)=96$, from which $x=40$ people in the skiing section. In the skating section, $0.8 \cdot 40=32$ people; in the hockey section, $96-40-32=24$ people.

Answer: 40, 32, and 24 people.