Question

68 boxes of a certain commodity require a shelf length of 13.6 m. How many boxes of the same commodity would occupy a shelf of 20.4 m ?

Answer 1

For 68 boxes of certain commidity is required a shelf length of 13.6 m
Let x boxes am require for 20.4 m shelf
Then
$\begin{array}{ccc}\text{Boxex}& 68& x\\ \text{Length of shelf}& 13.6& 20.4\end{array}$
$\therefore \frac{68}{13.6}=\frac{x}{20.4}\Rightarrow 13.6x=68\times 20.4\Rightarrow x=\frac{68\times 20.4}{13.6}=\frac{68\times 204\times 10}{136\times 10}=\frac{68\times 204}{136}=102$
$\therefore$ Number of boxes required = 102