Question

In a class of 56 students, the number of boys is (2/5)th the number of girls,
then the number of boys is:

Answer 1

Answer:

• There are 16 boys in the class.

Step-by-step explanation:

Given that:

• There are 56 students in a class.
• Number of boys is 2/5 the number of girls.

To Find:

• The number of boys.

Let us assume:

• The number of girls be x.

Then,

• The number of boys will be 2x/5.

According to the question:

$\rm{\longmapsto x+\dfrac{2x}{5}=56}$

Adding LHS,

$\rm{\longmapsto \dfrac{5x+2x}{5}=56}$

$\rm{\longmapsto \dfrac{7x}{5}=56}$

Transposing 5 from LHS to RHS and changing its sign,

$\rm{\longmapsto 7x=56\times5}$

Multiplying RHS,

$\rm{\longmapsto 7x=280}$

Transposing 7 from LHS to RHS and changing its sign,

$\rm{\longmapsto x=\dfrac{280}{7}}$

Dividing RHS,

$\rm{\longmapsto x=40}$

Hence,

• x = 40

Therefore,

• Number of girls = 40
• Number of boys = (2 × 40)/5 = 80/5 = 16