Question

In the class the no. of girls is 20% more than that of the boys.the strength of the class is 66.if 4more girls are admitted to the class.the ratio of the no. of boys to that of the girls is​

Answer 1

Answer:

Step-by-step explanation:

The ratio of the number of boys to the girls is 3 : 4

Solution:

Let the number of boys in class be "b"

Let the number of girls in class be "g"

Given that the strength of the class is 66

So, we can frame as,

b + g = 66  ----- eqn 1

Also given that number of girls is 20% more than that of the boys

So we can say,

number of girls = number of boys + 20 % of boys

Substitute the above value of g in eqn 1

Therefore number of boys in class is 30

From eqn 1,

b + g = 66

30 + g = 66

g = 36

Therefore number of girls in class is 36

Now if 4 more girl are admitted to the class,

then number of girls = 36 + 4 = 40

New ratio is given as:

b : g = 30 : 40

Reducing to lowest form we get,

b : g = 3 : 4

Thus the ratio of the number of boys to the girls is 3 : 4

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