Question

In a class of 55 students ,the number of girls is 5/6 times the number of boys .Find the number of boys and girls in the class

Answer 1

total students - 55
let the no. of boys be x
then, no. of girls = 5/6 x

(5/6x + x) = total students or 55
(5x/6 + 6x/6)= 55
11x/6= 55
11x = 55x6=330
x = 330/11
x=30

Answer 2

Answer:

Total number if students=55

Let the no of girls be 'x' and boys be 'y'

:-x+y=55....(1)    (as total no of students is 55)

According to the given condition:

X=5/6y

6x=5y

6x-5y=0......(2)

Evaluating (1) and (2)

X+y=55

6x-5y=0

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

(1)*6: 6x+6y=330

(2)*1: 6x-5y=0

        (-)  (+)  (-)

      --------------------

           11y=330

            Y=30

The no of boys =30

x+y=55

x+30=55

X=25

The no of girls =25

Step-by-step explanation: