Question

the ratio of girls and boys in a school is 5:7. If there is 150 more boys in the school. Then find total students in the school​

Answer 1

Answer :

➥ The total number of students in the school = 900

Given :

➤ The ratio of girls and boys in a school = 5:7

➤ There is 150 more boys in the school

To Find :

➤ Total number of students in the school = ?

Solution :

Let ,

The numbers of girls be 5x and the numbers of boys be 7x. $\:$

Now ,

⟾ 5x - 7x = 150

⟾ 2x = 150

⟾ x = ¹⁵⁰/₂

⟾ x = 75

Numbers of girls

⟾ 5x = 5 × 75 = 375

Numbers of boys

⟾ 7x = 7 × 25 = 525

So ,

⟾ Total numbers of students = numbers of girls + numbers of boys

⟾ Total numbers of students = 375 + 525

⟾ Total numbers of students = 900

Hence, the total numbers of students in the school is 900.

Answer 2

$\star\:\:\:\bf\large\underline\blue{Given:–}$

☛︎ The ratio of girls and boys in the school is 5:7

☛︎ There is 150 more boys

$\star\:\:\:\bf\large\underline\blue{To\:find:–}$

Total number of students = ?

$\star\:\:\:\bf\large\underline\blue{Solution:–}$

Let, the number of girls be 5x and number of boys be 7x

ATQ,

↦7x – 5x = 150

↦2x = 150

↦x = 75

.°. Number of girls is 7x = 7×75 = 525

.°. Number of boys is 5x = 5×75 = 375

Therefore, total number of students in the school is = (525 + 375) = 900

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