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 3 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 choices:	A) 1:2	B) 3:4	C) 5:6	D) 7:8	E) 9:10
3B = 7C and so B = 7C/3   7A = 2B and so A = 2B/7 = 2C/3   A+B = 2C/3 + 7C/3 = 9C/3   B+C = 7C/3 + C = 10C/3   The ratio of A+B:B+C = 9:10   The answer is 9:10.
<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 2 type B widgets, and the weight of 3 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?