Question

the number of boys and girls in class are in ratio 7 ratio 5 the number of boys is 8 more than number of girls what is the total class strength​.



answer fast ​

Answer 1

$\huge{ \underline{ \underline \mathfrak \red{Answer - }}}$

Let the number of boys be 7x and that of girls be 5x.

According to the given condition, we have

Number of boys = Number of girls +8

⟹7x=5x+8

⟹7x−5x=8 ....[Transposing 5x to LHS]

Therefore, number of boys =7x4=28 and number of girls = 5x4=20

So, total number of children in the class =28+20= 48.

Hence, the class strenght is 48.

Answer 2

GIVEN:-

• Ratio of number of boys to number of girls is 7:5
• Number of boys is 8 more than number of girls

TO FIND:-

• Total strength of the class

SOLUTION:-

Let

• Number of boys be 7x
• Number of girls be 5x

We are given,

Number of boys is 8 more than than number of girls

$\implies7 \sf{x} = 5 \sf{x} + 8$

$\implies7 \sf{x} - 5 \sf{x} = 8$

$\implies2 \sf{x} = 8$

$\implies \sf{x} = \frac{8}{2}$

$\implies \sf \red{x = 4}$

Then,

Number of boys

$= 7 \sf{x = 7(4) = 28}$

Number of girls

$= 5 \sf{x = 5(4) = 20}$

Total class strength = Number of girls + Number of boys

$\implies\sf{total \: class \: strength = 20 + 28}$

$\implies \sf \blue{total \: class \: strength = 48}$

Total Strength of The class is 48