Conditioning (or tempering) of mature cereal grain is the controlled addition of water to ensure an effective separation of bran from endosperm during milling. Grain is delivered to a miller at a moisture content of 12.4%. What mass of water (to the nearest tenth of a gram) needs to be added to 1 kg of the grain to condition it for milling at 16.5% moisture? Show your working. (Clue: The amount of water in the conditioned grain must equal the amount of water in the mature grain + the amount added.)