Question

The ratio of the no.of boys and girls in a class is 9:5.Find the number of boys if the total no.of students in the class is 42.

Guys plz help me quick its very important..
And plz don't give unwanted answers..
I need step by step answers.
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Answer 1

Answer:

27

Step-by-step explanation:

Ratio of boys :girls

9:5

Total students =42

=(ratio of boy /ratio of boy+ratio of girl) *total student

=9/(9+5)*42

=(9/14)*42

=27

Answer 2

Answer = 27 Boys

Given : ↴

$\sf \: The \: ratio \: of \: the \: number \: of \: boys \: and \: girls \: in \: a \: class \: is \: 9 : 5.$

$\sf \: Total \: number \: of \: students \: in \: the \: class \: is \: 42.$

To Find : ↴

$\sf \: We \: need \: to \: find \: the \: number \: of \: boys.$

So, let's start : ↴

$\sf \: Boys \: = \: 9x$

$\sf \: Girls \: = \: 5x$

$\sf \longrightarrow \: 9x \: + \: 5x = 42$

$\sf \longrightarrow \: 14x \: = 42$

$\sf \longrightarrow \: x \: = \dfrac{42}{14}$

$\sf \longrightarrow \: x \: = \dfrac{ \cancel{42}}{\cancel{14}} = 3$

$\sf \: Till \: here \: We \: have \: just \: find \: the \: value \: of \: x$

$\sf \: Now, \: We \: will \: find \: the \: number \: of \: Boys.$

$\sf \: Number \: of \: Boys \: = \: 9 \times 3 \: = \: 27$

$\sf \: So, \: the \: No. \: of \: Boys \: = \: 27$

Answer = 27 Boys

_________________________

Some More Information : ↴

$\sf \: \: The \: Number \: of \:Girls \: = \: 5 \times 3 = 15$

$\sf \: So, \: the \: No. \: of \: Girls \: = \: 15$

_________________________

Let's Verify Our Answer : ↴

To verify our Answer we have to add 27 and 15. If the sum of both the numbers is 42, then it means that our Answer is correct.

So, Let's Check : ↴

$\sf \: 27 \: + \: 15 \: = \:42$

Hence the Number if Boys are 27

And the number of Gìrls are 15.