Question

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

Answer 1

Answer:

The total trees are 260, 52 are orange trees and 60 mango trees.

Step-by-step explanation:

Given :

1/5 of total = Orange trees

3/13 of total = Mango trees

Banana trees = 148

To find :

The total number of trees in the orchard

Solution :

Consider the total number of trees in the orchard be y

⇒ 1/5y + 3/13y + 148 = y

⇒ (13y + 15y)/65 + 148 = y

⇒ 28y/65 + 148 = y

⇒ 148 = y - 28y/65

⇒ 148 = 65y - 28y/65

⇒ 148 = 37y/65

⇒ y = 148×65/37

⇒ y = 9620/37

⇒ y = 260

Number of orange trees =

⇒ 1/5 × 260 = 52

Number of mango trees =

⇒ 3/13 × 260 = 60

$\therefore$ The total trees are 260, 52 are orange trees and 60 mango trees.

Answer 2

Answer:

Step-by-step explanation:

Solution :-

Let the total no. of trees be x

According to Question,

⇒ x = x/5 + 3x/13 + 148

Taking LCM = 65, we get

⇒ 65x = 28x + 9620

⇒ 65x - 28x = 960

⇒ 37x = 9620

⇒ x = 260

Orange trees = 1/5 × 260 = 52

Mango trees = 3/13 × 260 = 60

Hence, the total number of trees are 260, 52 are orange trees and 60 mango trees.