Question

750 students of school are arranged in rows for a mass drill. Each row contains equal no.of students and the no.of students in each row is less than the no.of rows by 5 . Find the no.of students in each row.

Answer 1

Answer:

no. of students = 750

no. of rows =5

no. of students in each row=750/5

=150

Answer 2

➪Given that :-

• Total number of students = 750

• Let the number of rows be x then;

• Number of students in each row → x -5

➪According to the question :-

The number of students are arranged equally which means;

$\\ \\ \sf \: x \times (x - 5) = 750$

➪Solution :

$\sf x \times (x - 5) = 750 \\ \\ \sf {x}^{2} - 5x - 750 = 0 \\ \\ \sf {x}^{2} - 30x + 25x - 750 = 0 \\ \\ \sf \: x(x - 30) + 25(x - 30) \\ \\ \sf(x + 25)(x - 30) \\ \\ \\ \red{\boxed{\sf \: values \: of \: x = - 25,30}}$

As number of rows cant be negative so.

→The number of rows = 30

And the number of students in each row = x - 5

→ 30 - 5

→25 Student in each row.

I hope it helps.