I solved the problem in the following way: I looked at the worst case scenario. I said okay if I selected 4 beads of color1, 4 more beads of color2, ... 4 more beads of color5 then the next bead I select will give me 5 beads of one of the colors. This gives me (4 * 5 +1) = 21. That I believe is the answer. I'm sure there is a better way to solve the problem. Can you tell me the proper way to solve it so that I can explain it to my friend's 9 year old daughter? She was given this and other word problems for practice in preparation for a math contest. Can you direct me to a resource that might help explain stategies for solving various kinds of math word problems. These problems are not in her text book.