In a school, there are $384 g i r l s$ and $420 b o y s$
What is the ratio of girls to the total number of students?

Open in App

Solution

Step-1: Find the Total number of students
Number of boys $=$ $420$
Number of girls $=$ $384$
$T o t a l n u m b e r o f s t u d e n t s = N u m b e r o f b o y s + N u m b e r o f g i r l s T o t a l n u m b e r o f s t u d e n t s = 420 + 384 T o t a l n u m b e r o f s t u d e n t s = 804$
Step-2: Find $n u m b e r o f g i r l s : t o t a l n u m b e r o f s t u d e n t s$
$n u m b e r o f g i r l s : t o t a l n u m b e r o f s t u d e n t s$ $=$ $384 : 804$
Step-3: Simplify the ratio $420 : 804$
$384 : 804$ $=$ $\frac{420 \div 12}{804 \div 12}$ ( To simplify $384 : 804$ divide it by HCF of $384$ and $804$ The HCF of $384$ and $804$ is $12$ )
$384 : 804$ $=$ $\frac{32}{67}$ $=$ $32 : 67$
Hence, the ratio $n u m b e r o f g i r l s : t o t a l n u m b e r o f s t u d e n t s$ is $32 : 67$

Suggest Corrections

Similar questions

In a school, the ratio of the number of boys to the number of girls is $17 : 12 .$ If there are $168$ girls, the total number of students in the school are :

There are 20 girls and 15 boys in a class.

(a) What is the ratio of number of girls to the number of boys?

(b)What is the ratio of number of girls to the total number of students in the class?

Q. In a school the total number of students are

3200

out of which

1800

are boys. Remaining are girls. Ratio of number of girls to boys is:

Join BYJU'S Learning Program

In a school, there are 384girlsand 420boysWhat is the ratio of girls to the total number of students?

In a school, there are $384 g i r l s$ and $420 b o y s$
What is the ratio of girls to the total number of students?