jmc

Question

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?

Accepted Answer

After Jamal adds x purple socks, he has (18+x) purple socks and 6+18+12+x=(36+x) total socks. This means the probability of drawing a purple sock is 18+x36+x, so we obtain 18+x36+x=35 Since 18+936+9=2745=35, the answer is 9.