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):
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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.
