Question

Solve:

The number of boys and girls are in ratio 7:5. The number of boys is 8 more than the number of girls. Find the strength of the class?

Answer 1

QUESTION ---- Solve:

The number of boys and girls are in ratio 7:5. The number of boys is 8 more than the number of girls. Find the strength of the class?

ANSWER
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Boys : Girls = 7 : 5

Let the no. of Boys be 7x and No. of girls be 5x

It is given that there are 8 more boys than girls
This means that

7x - 5x = 8

2x = 8

x = 4

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No. of Boys = 4 × 7
No. of Boys = 28

No. of Girls = 4 × 5
No. of Girls = 20


Total Students = 28 + 20

Total Students = 48

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Answer 2

Hi ,

Let the number of girls = x

Number of boys = x + 8

According to the problem given,

Ratio of boys and girls = 7 : 5

( x + 8 ) : x = 7 : 5

Product of the means = product of

the extremes

x * 7 = ( x + 8 ) * 5

7x = 5x + 40

7x - 5x = 40

2x = 40

x = 40 /2

x = 20

Therefore ,

Number of girls = x = 20

Number of boys = x + 8 = 20 + 8 = 28

Total students = number of girls +

number of boys

= 20 + 28 = 48

I hope this helps you.

:)