Question

a man uses ⅓ of his land for growing mangoes , ¼ for bananas , ⅜ for appels and remaining 18 hectares for oranges. a). how much land does he have? b) how much land does he use for growing apples?

Answer 1

Let the total land he owned be x hectares
According to the question,
$x- \frac{x}{3}-\frac{x}{4} - \frac{3x}{8} =18$
⇒$\frac{24x-8x-6x-9x}{24} =18$
⇒$\frac{x}{24}=18$
⇒$x=18*24=432$
⇒The man had 432 hectares of land.
Land used for growing apples=$432* \frac{3}{8}$ hectares
=162 hectares.
Ans:He owned 432 hectares of land and he used 162 hectares of land for growing apples.
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