Question

There are four kinds of trees in an orchard. Fourth part of total trees are Neem trees. Half of the remaining trees are Mango trees Half of the remaining trees are drumstick trees and remaining 6 trees are peepal trees. find the total number of trees in the orchard?

Answer 1

Let total number of trees be x.

=> Neem trees = x/4
Remaining number of trees = x-x/4 = 3x/4

=> Mango trees = (3x/4)/2 = 3x/8
Remaining number of trees = (3x/4)-(3x/8) = 3x/8

=> Drumstick trees = (3x/8)/2 = 3x/16
Remaining number of trees = (3x/8)-(3x/16) = 3x/16

=> Peepal trees = 3x/16
=> 6 = 3x/16
=> 96 = 3x
=> x = 32 trees

Answer 2

Answer:

32

Step-by-step explanation:

Let the total no. of trees be x

No. of Neem trees = $\frac{1}{4}x$

Remaining trees = $x-\frac{x}{4}=\frac{3x}{4}$

Half of the remaining trees are Mango trees

So, No. of mango trees = $\frac{1}{2} \times \frac{3}{4}x=\frac{3}{8}x$

Remaining trees = $\frac{3x}{4}-\frac{3x}{8}=\frac{3x}{8}$

Half of the remaining trees are drumstick trees

No. of drumstick trees = $\frac{1}{2} \times \frac{3x}{8}=\frac{3x}{16}$

Remaining trees =$\frac{3x}{8}-\frac{3x}{16}=\frac{3x}{16}$

We are given remaining are 6 people trees

So, $\frac{3x}{16}=6$

$x=\frac{6 \times 16}{3}$

$x=32$

Hence the total number of trees in the orchard is 32