SOLUTION: A lever 12 m long balances weights of 48kg one end and 24 on the other end. Find the lengths of the two arms of the lever.

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: A lever 12 m long balances weights of 48kg one end and 24 on the other end. Find the lengths of the two arms of the lever.      Log On


   

Question 108133: A lever 12 m long balances weights of 48kg one end and 24 on the other end. Find the lengths of the two arms of the lever.
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
48X=24(12-X)
48X=288-24X
48X+24X=288
72X=288
X=288/72
X=4 FEET FROM THE FULCRUM FOR THE 48 KG ITEM
12-4=8 FEET FROM THE OTHER END FOR THE 24 KG ITEM.
PROOF
48*4=24*8
192=192