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 4 buckles is how many times that of 5 buckles and 6 buttons? Choose the most appropriate option.
A) 7/15  B) 2/5  C) 8/15  D) 3/5  E) 11/15
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 + 4y = a(6x+5y)   9y = a(15y)   a = 9/15 =3/5   The answer is 3/5.
<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 4 buckles is how many times that of 5 buckles and 6 buttons?