Student: Suzy has a lot of skeins of yarn, she has blue, yellow, and red yarn. She has twice as much blue yarn as yellow yarn, and she has twice as much yellow yarn as she has red yarn. If she has X skeins of yarn, how many of the skeins are red, in terms of X?\nOptions:\n(A) X/8\n(B) X/7\n(C) X/6\n(D) X/5\n(E) X/4.
Another student: Let's say, hmmm...

User
Since the total number of skeins is X, then X = Blue + Yellow + Red\nBecause there are twice as many Blue as Yellow, then Blue = 2*Yellow\nThus X = 2*Yellow + Yellow + Red, which simplifies to X = 3*Yellow + Red\nBecause there are twice as many Yellow as Red, then Yellow = 2*Red\nThus X = 3*(2*Red) + Red, which simplifies to X = 7*Red\nTherefore Red = X/7 Final answer: (B).
Assistant