Question

In a class, 45% of students are girls. If there are 22 boys in the class, then the total number of students in the class is?

Answer 1

Answer:

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Answer 2

Answer -

• There are 40 students in the class.

To find -

• The total number of students in the class.

Step-by-step explanation -

Let the total number of students be "x".

• Before finding the total number of students, let's find the percentage of boys in the class!

Given that -

• 45% of the students are girls.

Hence -

• The percentage of boys in the class = 100% - 45% = 55%.

Now -

• There are 22 boys in the class.

Then -

• 55% of "x" = 22.

Therefore,

$\longmapsto \sf 55\% \: of \: x = 22$

$\longmapsto \sf \dfrac{55}{100} \times x = 22$

$\longmapsto \sf \dfrac{55x}{100} = 22$

$\longmapsto \sf 55x = 22 \times 100$

$\longmapsto \sf 55x = 2200$

$\longmapsto \sf x = \cancel{\dfrac{2200}{55}}$

$\longmapsto \sf x = 40$

Hence -

• There are 40 students in the class.

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