Question

The ratio of fruit tree and vegetable trees in an orchard is 3:4. If 6 more trees of each type are planted, the ratio of trees would be 6:7. Find the number of fruit trees and vegetable trees in the orchard.

Answer 1

let X be the number of each tree

let the number of fruit tree be 3x

let the no of vegetable tree be 4x

Given

If we add 6 to each ratio (both fruit tree and vegetable tree); it will become in the ratio of 6:7

Now,

=3x+6/4x+6=6/7

By cross multiplication

= 7(3x+6) = 6(4x+6)

= 21x+42 = 24x+36

= 24x-21x = 42-36

= 3x = 6

= x = 2

So,

The number of fruit tree is (3×2)=6

Number of vegetable tree is (4×2)=8