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

guava + banana=1/3+1/8=11/24. Rest are mango trees.
mango trees = 1/1 - 11/24 = 13/24 
exact number of mango trees = 117
total number of trees = 117×24/13 = 216

Answer 2

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:

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

=> LCM of 3 and 8 is 24

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

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

So, guava and banana trees are 11/24

Finding mango trees :

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

Mango trees are = 13/24

Given mango trees are 117

Finding total trees :

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

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