Question

In a school, there are $3500$ students, out of which $1450$ are girls.

(i) Find the number of boys.

(ii) Find the ratio of the number of boys to the number of girls

(iii) Find the ratio of the number of boys to the total number of students

Answer 1

Here, it is given that, there are $3500$ students And also given out of which $1450$ are girls.

So, (i) To find the number of boys

we have to subtract the number of girls from the number of students

i.e. $3500-1450=2050$

Hence, the number of Boys are $2050$

Now, (ii) we have to find the ratio of the number of boys to the number of girls

Here, the number of Boys = $2050$ and number of girls = $1450$

So, The Ratio of the number of boys to the number of girls is $\frac{2050}{1450}$

Dividing its numerator and denominator by its HCF $50$

We get $\frac{2050÷50}{1450÷50}=\frac{41}{29}$ or $41:29$

Hence, the ratio of the number of boys to the number of girls is $41:29$.

Now, (iii) To find the ratio of the number of boys to the total number of students

Here, the number of boys = $2050$

And, the number of students = $3500$

The ratio of the number of boys to the total number of students = $\frac{2050}{3500}$

Dividing its numerator and denominator by its HCF $50$

we get $\frac{2050÷50}{3500÷50}=\frac{41}{70}$or $41:70$

Hence, the ratio of the number of boys to the total number of students is $41:70$.