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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? - CBSE Class 8 - Mathematics

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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?

Solution

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

Number of boys = 7x

Number of girls = 5x

According to the given question,

Number of boys = Number of girls + 8

∴ 7x = 5x + 8

On transposing 5x to L.H.S, we obtain

7x − 5x = 8

2x = 8

On dividing both sides by 2, we obtain

`(2x)/2  = 8/2`

x = 4

Number of boys = 7x = 7 × 4 = 28

Number of girls = 5x = 5 × 4 = 20

Hence, total class strength = 28 + 20 = 48 students.

  Is there an error in this question or solution?

APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 8 (2018 to Current)
Chapter 2: Linear Equations in One Variable
Ex. 2.20 | Q: 10 | Page no. 28
Solution 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? Concept: Some Applications.
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