Max went to the store and bought 22 apples. He bought twice as many red apples as he did green, and he bought one-third many yellow as he did red. How many of each type of apple did he buy?

Let the number of green apples bought be x

Green apples = x

Red apples = 2x

Yellow apples = 1/3 (2x) = 2/3 x

Total = 22 apples

x + 2x + 2/3 x = 22

11/3 x = 22

11x = 66

x = 6

Green apples = x = 6

Red apples = 2x = 2 (6) = 12

Yellow apples = 2/3 (2x) = 2/3 (6) = 4

Answer: Green = 6, Red = 12, Yellow = 4