Question

In an orchard, 1/3 of the trees are guava trees, 1/8 are banana trees and the rest are mango trees. If there are 117 mango trees in the orchard, how many trees are there in all? Please give explanation.​

Answer 1

Answer:

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Answer 2

Explanation:

Given :

Guava Trees = 1/3

Banana Trees = 1/8

Mango trees = 117

To find :

how many trees are there in all?

Solution :

Add guava and banana trees:

\dfrac{1}{3} + \dfrac{1}{8}

3

1

+

8

1

=> LCM of 3 and 8 is 24

= > \dfrac{8 + 3}{24}=>

24

8+3

= > \dfrac{11}{24}=>

24

11

So, guava and banana trees are 11/24

Finding mango trees :

= > \dfrac{24}{24} - \dfrac{11}{24} = \dfrac{13}{24}=>

24

24

−

24

11

=

24

13

Mango trees are = 13/24

Given mango trees are 117

Finding total trees :

= > 117 \times \dfrac{24}{13} = 216=>117×

13

24

=216

Hence, The total number of trees in the orchard are 216