Question

24 bag of sugar weigh 21 kg. Howbags will weigh - 122kg ?

Answer 1

If 24 bags of sugar weigh 21kg i.e

$24\text{ bags}\Rightarrow21\operatorname{kg}$

Let n bags of sugar weigh 122kg i.e

$n\text{ bags}\Rightarrow122\operatorname{kg}$

Relating the expressions

$\begin{gathered} 24\text{ bags}\Rightarrow21\operatorname{kg} \\ n\text{ bags}\Rightarrow122\operatorname{kg} \\ \text{Crossmultiply} \\ 24\times122=21\times n \\ 21n=2928 \\ \text{Divide both sides by 21} \\ \frac{21n}{21}=\frac{2928}{21} \\ n=139\frac{3}{7}\text{ bags} \end{gathered}$

Hence, the number of bags, n, is

$n=139\frac{3}{7}\text{ bags}$