Question

the ratio of number of mango trees to chikoo trees in an orchard is 5:7 . if 40 more trees of each type are planted the ratio of trees would be 25:31 . then find the number of mango and chikoo trees in the orchard .​

Answer 1

Answer:

Let the number of mango trees and chikoo trees be 5 x and 7 x respectivey .

Now According to the condition given in the question,

( 5x+40) / ( 7x+40) = 25/31

31 (5x+40) = 25(7x+40)

155x + 1240 = 175x + 1000

-20 x = -240

x= 12

So , the number of mango trees = 5× 12= 60

And , the number of chikoo trees= 7×12= 84

Hope it helped ...

Answer 2

Answer:-

Let the number of Mango and chikoo trees be 5x , 7x.

Given:

If 40 more trees of each type are planted in the orchard , then the ratio becomes 25 : 31.

According to the question,

(5x + 40) : (7x + 40) = 25 : 31

⟶ (5x + 40) / (7x + 40) = 25 / 31

⟶ (5x + 40) 31 = 25 (7x + 40)

⟶ 155x + 1240 = 175x + 1000

⟶ 1240 - 1000 = 175x - 155x

⟶ 240 = 20x

⟶ 240/20 = x

⟶ x = 12

∴

• Number of Mango trees = 5x = 5(12) = 60.

• Number of chikoo trees = 7x = 7(12) = 84