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 3 type B widgets, and the weight of 5 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?	Options.
A) 1:2
B) 2:3
C) 3:4
D) 4:5
E) 5:6
5B = 7C and so B = 7C/5   7A = 3B and so A = 3B/7 = 3C/5   A+B = 3C/5 + 7C/5 = 10C/5   B+C = 7C/5 + C = 12C/5   The ratio of A+B:B+C = 10:12 = 5:6   The answer is 5:6.
<result>E</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 3 type B widgets, and the weight of 5 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?