Question

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 8 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?

Answer 1

Answer:
`(77)/(96)`

Explanation:

Given

weight of 8 Type A widget is equal to weight of 3 type B widgets

i.e. 8A=3B (Let's say)

`A=(3)/(8)B`

Also

Weight of 5 Type B widgets is equal to the weight of 7 type C widgets

i.e.

5B=7C

`C=(5)/(7)B`

ratio of 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

`(A+B)/(B+C)=((3)/(8)B+B)/(B+(5)/(7))`

`=(11* 7)/(8* 12)=(77)/(96)`