Try this beautiful Problem based on probability from AMC 8 2020.
Jamal has a drawer containing 6 green socks, 18 purple socks, and 12 orange socks. After adding more purple socks, Jamal noticed that there is now a $60 \%$ chance that a sock randomly selected from the drawer is purple. How many purple socks did Jamal add?
Percentage
Proportion
Probability
AMC 8 2020 Problem 13
9
At first Let Jamal adds $x$ purple socks,
So, He have $18+x$ purple Socks now, in total He has $36+x$
So probability of drawing a purple sock is $\frac{18+x}{36+x}$
Hence,
$\frac{18+x}{36+x}=\frac{3}{5}$
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