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

Question 145594: A lever 12 m long balances weights of 48 kg on onw end and 24 kg on the other end. Find the lenghth of the two arms of the lever.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A lever 12 m long balances weights of 48 kg on one end and 24 kg on the other end. Find the lenghth of the two arms of the lever.
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Let one arm have length = x meters ; Then the other arm is "12-x" meters.
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Proportion:
x/ 48 = (12-x)/24
24x = 48(12-x)
24x = 48*12 - 48x
72x = 48*12
9x = 6*12
x = 8 meters (one of the arms)
12-x = 4 meters (the other arm)
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Cheers,
Stan H.

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