Question Number 152457 by pete last updated on 28/Aug/21
$$ \\ $$$$\mathrm{Kofi}\:\mathrm{is}\:\mathrm{20\%}\:\:\mathrm{heavier}\:\mathrm{than}\:\mathrm{Afia}.\:\mathrm{If}\:\mathrm{Kofi} \\ $$$$\mathrm{weighs}\:\mathrm{60}\:\mathrm{kg}\:\mathrm{what}\:\mathrm{is}\:\mathrm{Afia}'\mathrm{s}\:\mathrm{weight}? \\ $$
Answered by Rasheed.Sindhi last updated on 28/Aug/21
$${Let}\:{Afia}'{s}\:{weight}\:{is}\:{w} \\ $$$${Kofi}'{s}\:{weight}={w}+\left(\mathrm{20\%}{of}\:{w}\right)=\mathrm{60} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{w}+{w}×\frac{\mathrm{20}}{\mathrm{100}}=\mathrm{60} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{w}\left(\mathrm{1}+\frac{\mathrm{1}}{\mathrm{5}}\right)=\mathrm{60} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{w}×\frac{\mathrm{6}}{\mathrm{5}}=\mathrm{60} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{w}=\mathrm{60}×\frac{\mathrm{5}}{\mathrm{6}}=\mathrm{50}\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{Afia}'{s}\:{weight}=\mathrm{50}\:{kg} \\ $$
Commented by pete last updated on 28/Aug/21
$$\mathrm{Tbanks}\:\mathrm{very}\:\mathrm{much}\:\mathrm{sir} \\ $$
Answered by Rasheed.Sindhi last updated on 29/Aug/21
$$\begin{array}{|c|c|c|}{\underset{\underset{\left({kg}\right)} {{weight}}} {{Afia}'{s}}}&\hline{\underset{\underset{\left({kg}\right)} {{weight}}} {{Kofi}'{s}}}\\{\:\:\:\underset{\left({say}\right)} {\mathrm{100}}}&\hline{\:\:\:\mathrm{120}}\\{\:\:\:\:\:\:\uparrow{x}}&\hline{\:\:\:\:\:\uparrow\mathrm{60}}\\\hline\end{array}\:\underset{\mathrm{PROPORTION}} {\mathrm{BY}\:\mathrm{RATIO}-} \\ $$$$\:\:\:\:\left({direct}\:{proportion}\right)\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\frac{{x}}{\mathrm{100}}=\frac{\mathrm{60}}{\mathrm{120}} \\ $$$${x}=\frac{\mathrm{60}×\mathrm{100}}{\mathrm{120}}=\mathrm{50}\:{kg} \\ $$