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 college is
A) 100
B) 250
C) 260
D) 416

Answer 1

Let the no. of boys and girls be 8x and 5x......... But girls are given to be 160 in no. so 5x = 160........x= 160/5....... x= 32.......... Now put the value of x.......... Total No. of students = Non of boys + No. Of girls..... = 8x + 160 = 8(32) +160 = 256+160 = 416....... So the ans. is Option D- 416

Answer 2

Given:

The ratio of number of boys to girls = 8:5

Number of girls in the class = 160

To find:

Total number of students in the class

Calculation:

Let the number of boys in the class is ‘x’. According to the given data

=> Number of boys/Number of girls = 8/5

=> x / 160 = 8/5

=> x = (8/5)×160

=> x = 256

∴ The number of boys in the class is 256

Total students = number of boys + number of girls

                        = 256+160

                        = 416

There are 416 students in the class