# In a college, out of 4320 students, 2300 are girls. Find the ratio of (a) Number of girls to the total number of students. (b) Number of boys to the number of girls. (c) Number of boys to the total number of students.

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Updated on: September 25th, 2023

Given that,

Total number of students = 4320

Number of girls = 2300

And,we know that

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

= 4320 – 2300

= 2020

(a) Ratio of number of girls to the total number of students = Number of girls/ Total number of students

= 2300/4320

Factors of 2300 = 2 x 2 x 5 x 5 x 23

Factors of 4320 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5

HCF of 2300 and 4320 = 2 x 2 x 5 = 20

We get

Ratio of number of girls to the total number of students = (2 x 2 x 5 x 115)/ (2 x 2 x 5 x 216)

= 115/216

Therefore, the ratio of the number of girls to the total number of students is 115: 216.

(b) Ratio of number of boys to the number of girls = Number of boys/ Number of girls

= 2020/2300

= (2 x 2 x 5 x 101)/ (2 x 2 x 5 x 115)

= 101/115

Therefore, the ratio of the number of boys to the number of girls is 101: 115.

(c) Ratio of number of boys to the total number of students = Number of boys/ Total number of students

= 2020/ 4320

= (2 x 2 x 5 x 101)/ (2 x 2 x 5 x 216)

= 101/ 216

Therefore, the ratio of the number of boys to the total number of students is 101: 216.

Summary:

## (c) Number of boys to the total number of students.

In a college, out of 4320 students, 2300 are girls. Find the ratio of

(a) Number of girls to the total number of students is 115: 216

(b) Number of boys to the number of girls 101: 115

(c) Number of boys to the total number of students 101: 216.

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