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. What is the total class strength?
explain it​

Answer 1

Answer:

Because their ratio is given as 7 : 5. So, the strength of the class will be = number of boys in class + number of girls in class = 7x + 5x = 12x. Now, we know that it is given in the question that the number of boys is 8 more than the number of girls. So, the number of boys should be equal to 7x =7*4 = 28.

Step-by-step explanation:

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Answer 2

Hello, Buddy!!

||GIVEN||

• Ratio of Number of Boys to Number of girls is 7:5.
• Number of boys is 8 more than the strength of girls.

||TO FIND||

• Total Strength of Class.

||Required Response||

Let,

Number of Girls be x

Then, Number of Boys is 8 more than x ☞ x+8

Now, 7:5 = (x+8):x

WKT, Product of Means = Product of Extremes

→ 5(x+8) = 7(x)

→ 5x+40 = 7x

→ 40 = 7x-5x

→ 2x = 40

→ x = 40/2

→ x = 20

Number of Girls = x ➝ 20

Number of Boys = x+8 => 20+8 ➝ 28

Total Strength = Number of Boys + Number of Girls

→ x+(x+8)

→ 20+28

→ 48

Total Strength of Class

• $\longmapsto\;\red{\bold{48}}$

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