Three types of grains are used to make a grain mixture: wet oats (20% moisture by mass), wet corn (25% moisture), and wet barley (35% moisture). Wet corn is 23 of this mixture by mass. The mixture is put in a dryer to remove excess moisture. The mass of water removed from the dryer is 35kg, the mass of the output mixture is 485kg (18% moisture).
Determine the amounts (in kg) of wet oats, wet corn, and wet barley used to make the original mixture?