Questions & Answers

Question

Answers

A) 650

B) 1050

C) 400

D) 950

Answer
Verified

Total no. of the student in the school = x

Number of girls = \[2x\]

Number of boys = $5x$

We have the ratio of number of girls and number of boys

Boys : Girls= \[5x:2x\]

As given in the question, the number of boys is more by 450 than that of girls.

So, our equation is $5x - 2x$ which is equal to $450$

$5x - 2x = 450$

After subtracting

$3x = 450$

$x = 450/3$

Dividing the 450 by 3

$x = 150$

From here we find out the value of $x$ which is $150$.

We have the ratio of numbers of boys and girls. So, we add the ratio to find out the total number of students.

$ = 5x + 2x$

$ = 7x$

Now we know the value of x so, put his value in this

$ = 7.150$

Here we multiply 7 by 150

$ = 1050$

The option B is the correct option in all, total number of students are $1050$.