The balance of friendship
Two friends decided to test a hydraulic lift. Mike sat in a chair on the larger piston while Chris stood up in the smaller piston. The area of the larger piston is \(1.4\) times bigger than the area of the smaller one. If Mike weighs \(1000 N\) and Chris weighs \(750 N\), find the mass in kg, rounded to the nearest integer, that the chair needs to have so that the lift is in equilibrium.