2. (Manes, Procedural and Structural Algebra, Prob. 32) There are three piles of rocks: pile A, pile B, and pile C. Pile B has two more rocks than pile A. Pile C has four times as many rocks as pile A. The total number of rocks in all three piles is 14. a) Use x to represent the number of rocks in pile A, and write equations that describe the rules above. Then find the number of rocks in each pile. b) Use x to represent the number of rocks in pile B, and write equations that describe the rules above. Then find the number of rocks in each pile. c) Use x to represent the number of rocks in pile C, and write equations that describe the rules above. Then find the number of rocks in each pile. d) Compare these three approaches to solving the problem. Which version was easiest? Which one was hardest? Why