uring a mass drill exercise, 6250 students of different schools are arranged in rows such that the number of students in each row is equal to the number of rows. In doing so, the instructor finds out that 9 children are left out. Find the number of children in each row of the square.

Respuesta :

Answer:

Number of students in each row when arranged in rows such that the number of students in each row is equal to the number of rows = 79

Explanation:

 Number of students = 6250

 Number of students left when arranged in rows such that the number of students in each row is equal to the number of rows = 9

 So total number of students in square = 6250 - 9 = 6241

 So, number of students in each row = [tex]\sqrt{6241}[/tex]

 Students in each row = 79 students.

Number of students in each row when arranged in rows such that the number of students in each row is equal to the number of rows = 79

Let's assume

the number of children in each row of the square is x

Since, the number of students in each row is equal to the number of rows

so, the number of children in each column of the square is x

6250 students of different schools

But 9 children are left out

so, total number of student in rows and columns =6250-9=6241

total number of student in rows and columns=(the number of children in each row of the square)*(the number of children in each column of the square)

now, we can plug values

[tex]6241=x\times x[/tex]

[tex]x^2=6241[/tex]

now, we can solve for x

[tex]\sqrt{x^2} =\sqrt{6241}[/tex]

[tex]x=79[/tex]

So,

the number of children in each row of the square is 79...........Answer

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