A bag of mixed nuts contains cashews, pistachios, and almonds. There are 3000 total nuts in the bag, and there are 400 fewer almonds than pistachios. Cashews weigh 3 g, pistachios weigh 4 g, and almonds weigh 6 g. If the bag weighs 11.3 kg, find out how many of each type of nut is in the bag.