Mathematics: 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?

The weight of every type a widget is the same, - id1998800, genyjoannerubiera

joselinen

01.01.2022

$\frac{77}{96}$

Step-by-step explanation:

Given

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

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

$A=\frac{3}{8}B$

Also

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

i.e.

5B=7C

$C=\frac{5}{7}B$

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

$\frac{A+B}{B+C}=\frac{\frac{3}{8}B+B}{B+\frac{5}{7}}$

$=\frac{11\times 7}{8\times 12}=\frac{77}{96}$

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