$2000$ kg of lactose is dissolved in sufficient water to make lactose syrup at $57\backslash$deg C$,$ where the solubility is $45\%$ wt lactose in water. The solution is cooled to $10\backslash$deg C$,$ where the solubility is $15$ kg lactose$/100\_$kg total water. Lactose crystallizes as the monohydrate. What is the weight of crystals obtained, neglecting loss of water by evaporation? Molecular weight of lactose is $360,3.$