Question

In a school, there are
536 boys and 33 1/3 %
are girls. Find the number of girls? ​

Answer 1

The number of girls = 268

Given:

Number of boys in school = 536

Percentage of girls = 33 1/3%

To find:

The number of girls in the school

Solution:

Given that percentage of girls in school = 33 1/3 %

Here, 33 1/3 = 100/3 [ (33×3)+1 = 110 ]  

If 100/3% are girls then percentage of boys will be (100 - 100/3)%

⇒ 100 - 100/3 = 200/3

Let x be the total number of boys and girls in school

Then 200/3% of x are boys

From given data number of boys = 536

⇒  200/3% of x  = 536

⇒ $\frac{\frac{200}{3} }{100} (x) = 536$

⇒ $(\frac{200}{3}) (\frac{1}{100} ) x = 536$

⇒ $\frac{2x}{3} = 536$

⇒ 2x = 1608

⇒ x = 804

Therefore, total number of students = 804

Number girls = 804 - No. of boys

Number girls = 804 - 536 = 268

The number of girls = 268

#SPJ2

Answer 2

Answer:

The answer to the given question is the number of girls in a school is 268.

Step-by-step explanation:

Given::

the number of boys in a school is 536.

The percentage of girls in a school is 33 1/3%

$33 \times \frac{1}{3} \%$

To find :

we have to find the number of girls in the school.

Solution :

It is given the percentage of girls in a school is

$33 \times \frac{1}{3} \% = \frac{100}{3} \%$

Then the percentage of boys in the class be

$100 - \frac{100}{3} = \frac{300 - 100}{3} \\ = \frac{200}{3}$

let x be the total number of students in the school.

where

$\frac{200}{3} \%are \: boys$

It is given that the number of boys is 536.

$\frac{200}{3} \% \: \: of \: x = 536$

on solving, we get

$\frac{ \frac{200}{3} }{100}x = 536$

on reciprocal we get

$\frac{200}{3} \times \frac{1}{100} x =(536) \\ \frac{2x}{3} = 536$

denominator on the left moves to the numerator on the right

$2x = 3(536) \\ 2x = 1608 \\ x = \frac{1608}{2} \\ x = 804$

The total number of students in a school is 804.

In that 536 are boys, then the number of girls will be

$804 - 536 = 268$

Therefo re,the number of girls in the school is 268.

#spj5

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