Question

The ratio of boys to girls in a group is 2:1. If there are 22 more boys than girls, work out how many people there are in total.

Answer 1

Given: Ratio of gírls and boys of a group is 2:1. & there are 22 more boys than gírls.

Need to find: How many people are there in total?

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❍ Let's consider boys and gírls in the group be x and y.

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As we know that,

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$\begin{gathered} \bf{\dag}\:{\underline{\frak{Putting\:the \: values \: given\:in\:question,}}}\\\\\\ :\implies\sf x :y= 2: 1\\\\\\ :\implies\sf x= 2y...( \frak{eq \: 1\:) } \\\\\\ :\implies \sf \: x = y + 22\\ \\ \\ :\implies \sf \: 2y= y + 22 \\ \\ \\ :\implies \sf{\underline{\boxed{\frak{\purple{y _{(\frak{Girls})} = 22}}}}}\:\bigstar\\ \\ \\ :\implies \sf x = 2(22)_{(\frak {x = 2y \: (eq \:1) } )} \\ \\ \\ :\implies \sf {\underline{\boxed{\frak{\purple{x _{(\frak{Boys})} =44}}}}}\:\bigstar\end{gathered}$

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Therefore,

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Number of boys in the group, x = 44

Number of gírls in the group, y = 22

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$\therefore\:{\underline{\sf{Hence,\:There \: are \: {\bf 66} \: people \: in \: total.}}}$