Question

In a garden 1/3 of the trees are mango trees, 1/4 of trees are litchi trees, 1/6 of the trees are banana trees and the rest are guava trees. If the number of guava trees is 284, find the total number of trees?

Answer 1

Answer:

Total number of trees = 1136

Step-by-step explanation:

Given -:

• Mango tree = $\frac{1}{3}$
• Litchi tree = $\frac{1}{4}$
• Banana tree = $\frac{1}{6}$
• Guava tree = 284

To Find -:

• Total number of trees

Solution -:

Add Mango,Litchi and Banana trees -:

$\small\rm{ \frac{1}{3} + \frac{1}{4} + \frac{1}{6} }$

→ LCM of 3,4 and 6 = 12

$\small \rm →\frac{4 + 3 + 2}{12}$

$→ \small\rm \frac{9}{12}$

So, Mango, Litchi and Banana trees = $\small\rm \frac{9}{12}$

Finding Guava Trees -:

$→ \small\rm \frac{12}{12} - \frac{9}{12}$

$→ \small\rm \frac{3}{12}$

Guava tree = $\frac{3}{12}$

Given Guava trees = 284

Finding total number of trees -:

$\small\rm{284} \times \frac{12}{3} = 1136$

Total number of trees = 1136