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 3 buckles is how many times that of 5 buckles and 6 buttons?	Choose the correct choice from the following: A) 7/15 B) 4/9 C) 6/11 D) 5/9 E) 8/15
Let x be the weight of a button and let y be the weight of a buckle.   2x + 2y = (1/3)(3x+11y)   3x = 5y   x = 5y/3   3x + 3y = a(6x+5y)   8y = a(15y)   a = 8/15   The answer is 8/15.
<result>E</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 3 buckles is how many times that of 5 buckles and 6 buttons?