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

Answer 1

let the number of trees be x
1/5x - orange trees
3/13x- mango trees
remaining trees=1-(1/5+3/13)
=1-28/65
=37/65
37/65x=148
x=260
no. of orange trees=1/5×260=52
no. of mango trees=3/13×260=60

Answer 2

The total number of trees is 260.

Step-by-step explanation:

We are given that in an orchard, 1/5 are orange trees, 3/13 are mango trees and the rest are banana trees.

And the banana trees are 148 in number.

Let the total number of trees be x.

So, the number of Orange trees =  $\frac{1}{5} \times x$  = $\frac{x}{5}$

Number of mango trees =  $\frac{3}{13} \times x$  = $\frac{3x}{13}$

Now, the fraction of banana trees in an orchard =  $1 - \frac{1}{5} -\frac{3}{13}$    

                                                                                =  $\frac{37}{65}$

So, Number of banana trees =  $\frac{37}{65}\times x$   , which means;

             148  =  $\frac{37x}{65}$

               x  =  $\frac{148 \times 65}{37}$ = 260

Hence, the total number of trees in an orchard is 260.