Question

The number of boys and girls in a class are in the ratio 7:5. The number of boys is 8 more than the number of girls. Now answer the following questions:
PART-a,b,c
5(a). The equation of the given situation is:​

Answer 1

Answer:

Let the common ratio between number of boys and girls be x

Number of boys =7x

Number of girls =5x

As per the question,

Number of boys = Number of girls +8

7x=5x+8

Transpose 5x to LHS, we will get

7x−5x=8

2x=8

Divide both sides by 2

x=4

No. of boys =7x=7×4=28

No. of girls =5x=5×4=20

Total class students 28+20=48

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Answer 2

Step-by-step explanation:

let boys = X

GIRLS =Y

X/Y = 7/5 equation (1)

NOW BOYS 8 MORE THAN GIRLS

X = Y+8 equation (2)

SOLVE EQUATION 1 & 2

X= 5X/7 +8

X = 28

Y= 20