Question

65% of the total number of students in a school are girls and there are 224 boys.

(i)What percent of the students are boys?

(ii) Find the total number of students in the school.

(iii) Find the number of girls

Answer 1

PERCENTAGE OF BOYS

65 % of total students are girls

Hence no. of boys = 100% - 65%

                               = 35%

TOTAL NUMBER OF STUDENTS

Let the total number of students be x

Given :

There are 224 boys .

So according to the problem : 35% off x = 224

                                               = 35/100 × x = 224

                                               = 7/20 × x = 224

                                               = x = 224 × 20/7

                                               = x = 32 × 20

                                               = x = 640

There are 640 students

NUMBER OF GIRLS

Number of girls = Total number of students - number of boys

                          = 640 - 224

                          = 416

There were 416 girls in the school ( So many ?? )

ANSWERS

Percentage of boys is 35%

Number of students = 640

Number of girls = 416

Hope it helps you :-)

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Answer 2

$\huge\boxed{\texttt{\fcolorbox{Red}{aqua}{Hey Mate!!!}}}$

$<b><i><font face=Copper black size=4 color=blue>$ Here is your answer.
Let the total number of students is x

65% are girls

Number of boys are 100 - 65 = 35%

ATQ
35% OF x = 224
$\frac{35}{100} \times x = 224 \\ x = \frac{224 \times 100}{35} \\ x = 640$
Therefore Total Number of students are 640

Now
Number of Girls are = 640 - 224
= 416


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