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?
Thoughts? Step-by-step reasoning:
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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.
Thus, the answer is 6.
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