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

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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 $n u m b e r o f b o y s : t o t a l n u m b e r o f s t u d e n t s$
$n u m b e r o f b o y s : t o t a l n u m b e r o f s t u d e n t s$ $=$ $420 : 804$
Step-2: Simplify the ratio $420 : 804$
$420 : 804$ $=$ $\frac{420 \div 12}{804 \div 12}$ ( To simplify $420 : 804$ divide it by HCF of $420$ and $804$ The HCF of $420$ and $804$ is $12$ )
$420 : 804$ $=$ $\frac{35}{67}$ $=$ $35 : 67$
Hence, the ratio $n u m b e r o f b o y s : t o t a l n u m b e r o f s t u d e n t s$ is $35 : 67$

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