Question

14. Roshan uses 3
8
of his land for growing grapes , 1
3
for oranges , 1
4
for bananas and the remaining
18 hectares for apples. How much land does he have? How much land does he use for growing
oranges?

Answer 1

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Answer 2

Answer:

Total Land = 432 hectares

Land for Oranges = 144 hectares

Step-by-step explanation:

In the given question,

Land used by Roshan for growing Grapes = $\frac{3}{8}$

Land used by Roshan for growing Oranges = $\frac{1}{3}$

Land used by Roshan for growing Bananas = $\frac{1}{4}$

Also,

Land used by him for growing Apples = 18 hectares

So,

Let the total land be = x

So,

$x=\frac{3}{8}x+\frac{1}{3}x+\frac{1}{4}x+18\\So,\\x=\frac{23}{24}x+18\\\frac{x}{24}=18\\ x=432$

Therefore, total land available = 432 hectares

And,

Land used for growing Oranges = $\frac{1}{3}\times 432=144$

Hence, Total land = 432 hectares and Land for Growing Oranges = 144 hectares