Answer :

If 24 bags of sugar weigh 21kg i.e

[tex]24\text{ bags}\Rightarrow21\operatorname{kg}[/tex]

Let n bags of sugar weigh 122kg i.e

[tex]n\text{ bags}\Rightarrow122\operatorname{kg}[/tex]

Relating the expressions

[tex]\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}[/tex]

Hence, the number of bags, n, is

[tex]n=139\frac{3}{7}\text{ bags}[/tex]

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Rewritten by : Barada