15. (15 points) Huanhuan, Lele, and Yangyang participated in the final of the Star of Hope competition, where 200 judges voted for them, with each judge casting one vote. If the ratio of votes Huanhuan and Lele received is 3:2, and the ratio of votes Lele and Yangyang received is 6:5, how many votes did Huanhuan, Lele, and Yangyang each receive?
【Solution】Solution: According to the ratio of votes received by Huanhuan and Lele is $3: 2$, and the ratio of votes received by Lele and Yangyang is $6: 5$, we can find out the ratio of votes received by Huanhuan, Lele, and Yangyang is 9: 6: 5,
$$
\begin{array}{l}
200 \times \frac{9}{9+6+5}=90 \text { (votes) } \\
200 \times \frac{6}{9+6+5}=60 \text { (votes) } \\
200 \times \frac{5}{9+6+5}=50 \text { (votes) }
\end{array}
$$

Answer: Huanhuan received 90 votes, Lele received 60 votes, and Yangyang received 50 votes.