The weight of every type A widget is the same, the weight of every type B widget is the same, and the weight of every type C widget is the same. If the weight of 7 type A widgets is equal to the weight of 2 type B widgets, and the weight of 4 type B widgets is equal to the weight of 7 type C widgets. What is the ratio of the total weight of 1 type A widget and 1 type B widget, to the total weight of 1 type B widget and 1 type C widget? Choose the correct choice from the following options:
A) 3:5
B) 5:7
C) 7:9
D) 9:11
E) 11:13
4B = 7C and so B = 7C/4   7A = 2B and so A = 2B/7 = C/2   A+B = C/2 + 7C/4 = 9C/4   B+C = 7C/4 + C = 11C/4   The ratio of A+B:B+C = 9:11   The answer is 9:11.
<result>D</result>
The weight of every type A widget is the same, the weight of every type B widget is the same, and the weight of every type C widget is the same. If the weight of 7 type A widgets is equal to the weight of 2 type B widgets, and the weight of 4 type B widgets is equal to the weight of 7 type C widgets. What is the ratio of the total weight of 1 type A widget and 1 type B widget, to the total weight of 1 type B widget and 1 type C widget?