A certain factory produces buttons and buckles at a uniform weight. If the total weight of 2 buttons and 2 buckles is one third of 11 buckles and 3 buttons, then the weight of 3 buttons and 2 buckles is how many times that of 4 buckles and 6 buttons?  Choose the most appropriate option: A) 7/15. B) 4/9. C) 6/11. D) 1/2. E) 8/15.
2buttons + 2buckles = 1/3(11buckles + 3buttons)   6buttons + 6buckles = 11buckles + 3buttons   3buttons = 5buckles   Weight of 3buttons and 2buckles = 5buckles + 2buckles = 7buckles   Weight of 6buttons and 5buckles = 10buckles + 4buckles = 14buckles   (3buttons and 2buckles) = x * (6buttons and 5buckles)   7 = x*14   x = 7/14=1/2   Answer: 1/2.
<result>D</result>
A certain factory produces buttons and buckles at a uniform weight. If the total weight of 2 buttons and 2 buckles is one third of 11 buckles and 3 buttons, then the weight of 3 buttons and 2 buckles is how many times that of 4 buckles and 6 buttons?