the recycling factory

let's say you have 5,000 dollars and you need to separate 4 types of recyclable materials, but you only have the following densities: aluminum soda cans: 2.7 ; steel cans: 5.7; milk jugs: .95; and soda bottles: 1.4. keep in mind they are all in the units grams per centimeter cubed. you have at your access a conveyor belt, a large tank that can be filled with water, another large tank labeled "concentrated sugar water, density = 1.5 grams per centimeters cubed", several magnets hanging above the conveyor belt, and several nets for skimming the tanks and scooping . you must have a plan of action to complete this task.

 

if i was in the situation that have just desrcibed to you i would first take the magnet and run it over the powders since the steel cans would lift up and i would transfer that to a separate container. from there i would take the remaining powder and place in the large container of water and since the denisity of water is 1.0 then the powder that floats would be the milk jugs  and the powder that sank was the plastic bottles or the aluminum cans then i would skim out the plastic bottles. going back to the aluminum cans i would then put it in the concentrated sugar water and the powder that sank would be the aluminum cans. lastly put all the materials on the conveyor belt to be put into piles.