A barrel

A barrel of sorghum weighs 56kg. The same barrel filled with kerosene weighs 35kg. If sorghum is twice as heavy as kerosene, how much does the empty barrel weigh?

Correct answer:

b =  14 kg

Step-by-step explanation:

b+s=56 kg b+k=35 kg s=2k  b+2k=56 b+k=35  b+2 k=56 b+k=35  b+2k=56 b+k=35  Row2Row1Row2 b+2k=56 k=21  k=121=21 b=562k=562 21=14=14 kg  b=14 k=21   Verifying Solution:  s=2 k=2 21=42 kg m1=b+s=14+42=56 kg m2=b+k=14+21=35 kg



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