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In a classroom, one-fifth of the boys leave the class and the ratio of the remaining boys to girls is $2: 3$. If further 44 girls leave the class, the ratio of boys to girls is $5: 2$. How many more boys should leave the class so that the number of boys equals that of girls?
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Let no of Boys $=x$ $\&$ Let no of girls $=y$
Given $\frac{\left(\frac{4 x}{5}\right)}{y}=\frac{2}{3}$
$\frac{2 x}{5 y}=\frac{1}{3}$
$y=\frac{6 x}{5}$ .........(i)
Also, $\frac{\left(\frac{4 x}{5}\right)}{y-44}=\frac{5}{2}$
$8 x=25(y-44)$
$8 x=25\left(\frac{6 x}{5}-44\right)$ (use 1)
$x=50$
$y=60$
Given $\frac{\left(\frac{4 x}{5}\right)}{y}=\frac{2}{3}$
$\frac{2 x}{5 y}=\frac{1}{3}$
$y=\frac{6 x}{5}$ .........(i)
Also, $\frac{\left(\frac{4 x}{5}\right)}{y-44}=\frac{5}{2}$
$8 x=25(y-44)$
$8 x=25\left(\frac{6 x}{5}-44\right)$ (use 1)
$x=50$
$y=60$
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