Johnny is a guitar player and he has three colors of guitar picks: red, blue, and yellow. Half of his picks are red, one-third of the picks are blue, and the rest are yellow. If he has 12 blue picks, what is the total number of yellow picks in his collection? Let's answer step by step:
If one third (1 / 3) of his picks are blue, then 3 times the total number of blue picks equals his total pick count, or 3 * 12 = 36 picks. If half of the picks are red, then he has 36 / 2 = 18 red picks. If the rest of the picks are yellow, then he has 36 - 18 - 12 = 6 yellow picks. The answer: 6.