SOLUTION: If a man was left with 10 hectares fewer than 40% of his land after selling 6 hectares more than 70% of his land, how many hectares of land did he initially own?

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Question 1184445: If a man was left with 10 hectares fewer than 40% of his land after selling 6 hectares more than 70% of his land, how many hectares of land did he initially own?
Answer by ikleyn(52814)   (Show Source): You can put this solution on YOUR website!
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If a man was left with 10 hectares fewer than 40% of his land after selling 6 hectares more
than 70% of his land, how many hectares of land did he initially own?
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The translation of words to Math is this equation for the total area x

    (0.4x - 10) + (0.7x+6) = x.


Simplify and solve


    0.4x - 10 + 0.7x + 6 = x

    0.4x + 0.7x - x = 10 - 6

           0.1x     =    4

              x     =    4/0.1

              x     = 40.


ANSWER.  He owned 40 hectares of land, initially.

Solved, answered and thoroughly explained.



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