Question

If the total number of students in a school is 60% boys and the number of girls is 972, then how many boys are there in that school ​

Answer 1

Appropriate Question -

• In a school, 60% are boys and the number of girls is 972. Find the number of boys in the school.

Answer -

• The number of boys in the school = 1458.

To find -

• The number of boys in the school.

Step-by-step explanation -

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

Given that -

• 60% of students in the school are boys.

Therefore -

• Percentage of girls in the school = 100% - 60% = 40%.

Let -

• The total number of students in the school be "x".

Now -

• The number of girls is 972.

Therefore -

$\longmapsto \rm40\% \: of \: x = 972$

$\longmapsto \rm \dfrac{40}{100} \times x = 972$

$\longmapsto \rm \dfrac{40x}{100} = 972$

$\longmapsto \rm40x = 972 \times 100$

$\longmapsto \rm 40x = 97200$

$\longmapsto \rm x = \cancel{\dfrac{97200}{40} }$

$\longmapsto \rm x = 2430$

Thus -

• The number of students in the school = 2430.

___________________________________

Now given that -

• 60% of the total students are boys.

Therefore, the number of boys is -

$\sf \longmapsto60\% \: of \: 2430$

$\sf\longmapsto \dfrac{60}{100} \times 2430$

$\longmapsto \sf \cancel{\dfrac{145800}{100} }$

$\longmapsto \sf1458$

Henceforth -

• The number of boys is 1458.

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