Question

ln a class 42 student the number of boys 2/5to the girls. find the number of boys and girls in class​

Answer 1

Answer:

No. of girls = 30

No of boys = 2/5 × 30 = 12

Step-by-step explanation:

No. of students = 42

Let 'x' be the number of girls.

No. of boys = 2/5 × x = 2x/5

2x/5 + x = 42

2x×1/5×1  +  x×5/1×5 = 42

2x/5 + 5x/5 = 42

7x/5 = 42

7x = 42 × 5

7x = 210

x = 210/7

x = 30

No. of girls = 30

No of boys = 2/5 × 30 = 12

Check ⇒

30 + 2/5 × 30 = 42

30 + 12 = 42

42 = 42

L.H.S = R.H.S

Hence, verified.

The answer is correct.

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Answer 2

Correct Question

In a class of 42 student, the number of boys are 2/5 to the number of girls. find the number of boys and girls in class​.

Given:

• To students in class= 42

• Number of boys are 2/5 to the number of girls

To Find:

Number of boys and girls in class​

Solution:

Let the no. of girls be x

Then, no. of boys will be $\dfrac{2}{5}\:of\:x=\dfrac{2x}{5}$

Now, according to question

$\sf{No.\:of\:girls+No.\:of\:boys=Total\:No.\:of\:students}$

$\longrightarrow\mathrm{x+\dfrac{2x}{5}=42}$

$\longrightarrow\mathrm{\dfrac{5x+2x}{5}=42}$

$\longrightarrow\mathrm{\dfrac{7x}{5}=42}$

$\longrightarrow\mathrm{x=\dfrac{\cancel{42}\times5}{\cancel{7}}}$

$\longrightarrow\mathrm{x=6\times5}$

$\longrightarrow\mathrm{x=30}$

Now,

$\mathrm{No.\:of\:girls=x=30}$

$\mathrm{No.\:of\:boys=\dfrac{2x}{5}=\dfrac{2(30)}{5}=\dfrac{\cancel{60}}{\cancel{5}}=12}$

Hence, the no. of boys are 12 and no. of girls are 30 in the class.