I would begin by defining some variables:
K = number of stickers received by Ken
J = number of stickers received by James
E = number of stickers received by Ethan
Now, what does the statement "Ken, James, and Ethan shared 240 stickers" tell you about the sum of K, J and E?
What does the statement "Ken received twice as many stickers as James" tell you about the relationship between K and J?
What does the statement "James received 3 times as many stickers as Ethan" tell you about the relationship between J and E?
Using these relationships, you can obtain a single equation in K, which you can then solve.