Question

6.5] Complete the following activities :
1. The ratio of the number of mango trees to chikoo trees in an orchard is 2: 3.If
5 more trees of each are to be planted, the ratio of the trees would be 5:7
Find the number of trees of each type.
Solution: The ratio of the number of trees is 2:3
Let the common multiple of the given ratio bex.
Then the number of mango tree
and number of chikoo to
From the given condition;
2x+ 5 =
? =7

(cross multiply to find the value of x and then the number of mango and
chikoo trees]​

Answer 1

Number of trees ofmango=x

Number of trees of chikoos=y

X/y= 2/3

After five more trees,

Number of trees of mangoes=x+5

Number of trees of chikoos=y+5

X+5/y+5= 5/7.......1 (equation)

X/y=2/3, x= 2/3y

From eq(1), put value of x

2/3y+5/y+5 = 5/7

2y+15/3y+15= 5/7

After cross multiplying,

14y+105= 15y+75

Y= 105-75= 30

X= 2/3y= 2/3×30= 20