In the manufacturing of soluble coffee, after roasting and grinding the coffee, a syrup is prepared from the mixture of the ground beans with hot water. This process is called extraction. The extract that comes out of the extractor contains 30% of solids. After extraction, the solution obtained (extract) is sent to an evaporator, where it is concentrated. The concentrated extract goes to a "spray" type dryer, where soluble coffee beans are obtained with 5% water. As during the evaporation process much more aroma is lost than during the drying process, an interesting alternative is to subdivide the extract into two streams, in which one goes through the evaporator and the other is sent directly to the dryer. Consider the process feed of 1000 kg/h. In this way, if 1/5 of the extract is deviated, determine: a) the amount of coffee and the concentration of solids in the outlet of the evaporator, so that the dryer feed has 55% of solids;
b) the amount of coffee fed into the dryer;
c) the amount of soluble coffee obtained after drying (product).