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:
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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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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
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