Set up systems of equations and solve by any appropriate method. All numbers are accurate to at least two significant digits.

The weight of a lever may be considered to be at its center. A 20-ft lever of weight w is balanced on a fulcrum 8 ft from one end by a load L at that end. If a load of 4L is placed at that end, it requires a 20-lb weight at the other end to balance the lever. What are the initial load L and the weight w of the lever?  See Fig. 5.58.

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L 4L 8 ft 20 ft W W Fig. 5.58 20 lb