Question

In a college ,the ratio of the number of boys to girls is 8:5 if there are 160 girls, the total number of students in the scgool is

Answer 1

Solution :-

Given : The ratio of the number of boys to girls is 8 : 5. There are 160 girls.

Let the number of boys be x

According to the question,

=> 8/5 = x/160

=> 5x = 160 × 8

=> x = (160 × 8)/5 = 256

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

= 256 + 160 = 416

Hence,

The total number of students in the school = 416

Answer 2

Solution:

Given,

Number of girls in a college = 160

Let the number of boys be 8x.

and, the number of girls be 5x.

=> 5x = 160

=> x = 160 / 5

=> x = 32

Now,

Total number of students

8x + 5x = 13x

Now, substitute the values of 'x'

13x = 13 × 32 = 416

Thus, the total number of students in the college are 416 students.