Question

in an orchard,1/5 are orange trees,3/13 are mango trees and the rest are banana trees. if the banana trees are 148 in number, find the total number of trees in the orchard

Answer 1

Let the total no. of trees be x
A/Q
x = x/5 + 3x/13 + 148
Taking LCM = 65
$x \: = \frac{13x + 15x + 9620}{65}$
$65x = 28x + 9620$
$65x - 28x = 960$
$37x = 9620$
$x = 260$
Hence, there are 260 trees in orchard.