Question

in a school number of boys are 160 more than girls. if there are 45% girls in the school, find the number of girls in the school​

Answer 1

Answer:

Number of girls=720

Given:

Number of boys are 160 more than girls and there are 45% girls in the school

To find:

The number of girls in the school

Solution:-

Let total number of students be x

Number of girls be 45/100 x

Then boys number be 45/100x+160

Now

According to the question

$\frac{45}{100}x + \frac{45}{100}x + 160 = x$

$45x + 45x + 16000 = 100x$

$16000 = 100x - 90x$

$16000 = 10x$

$\frac{16000}{10} = x$

$1600 = x$

Total number of students in school=1600

-------------------------

Number of girls

$= \frac{45}{100} \times 1600$

$= 720$

And number of boys=720+160

=880