Question

in a school, no.of boys are 160 more than rhe girls.if there are 45%girls in the school, find the no.of girls in school​

Answer 1

Let total number of student in school be x.

Number of girls = 45% of x

= 45/100 × x

Number of boys = 160 more than number of girls

= number of girls + 160

= 45x/100 + 160

Now, According to question,

⇒ 45x/100 + (45x/100 + 160) = x

⇒ 45x + 45x + 16000 = 100x

⇒ 16000 = 100x - 90x

⇒ 10x = 16000

⇒ x = 16000 / 10

⇒ x = 1600

Number of girls in school,

= 45% of x

= 45/100 × 16000

= 720

Answer 2

Answer:

Given :-

• In a school no.of boys are 160 more than the girls. There are 45% girls in the school.

To Find :-

• What are the no.of girls.

Solution :-

Let, the number of girls be x

And, the number of boys will be 160 + x

Then, the total number of students = 160 + 2x

According to the question,

⇒ 45/100(160 + 2x) = x

⇒ 7200 + 90x = 100x

⇒ 7200 = 100x - 90x

⇒ 7200 = 10x

⇒ 7200/10 = x

⇒ 720 = x

➠ x = 720

∴ The required number of girls are in school is 720 .