Question 282415
One hundred twenty pounds of weight is placed at one end of a 10ft lever and 25 pounds is place at the other end. How far from the 120 lb weight should the fulcrum be placed to have a balanced system?

Let x be the distance from the 120 lb weight. Then the distance from the 25 lb weight is 10-x. To maintain balance we have:

120*(10-x) = 25*x 

Solve the above for x.