Question

Student of the school have been divided into two groups in the ratio6:11 if the first group has 870 student how many student these in all in the school

Answer 1

$\sf\large\underline\purple{Let:-}$

$\sf{\implies Assume\:_{(as\:per\:the\: ratio)}=6\::\:11}$

$\sf{\implies First\:_{(group\:students)}=6x}$

$\sf{\implies Second\:_{(group\:students)}=11x}$

$\sf\large\underline\purple{Given:-}$

$\sf{\implies First\: group\:_{(No\:of\: students)}=870}$

$\sf{\implies Second\:group\:_{(No\:of\: students)}=11x}$

$\sf\large\underline\purple{To\: Find:-}$

$\sf{\implies Total\:_{(No\:of\: students\:in\: school)}=?}$

$\sf\large\underline\purple{Solution:-}$

• To calculate the total number of students which is divided in two groups ,at first we have to assume the ratio of number be x the calculate the value of X with the help of given clue in the question:]

$\sf\large\underline\purple{Condition\: Applied:-}$

$\sf{\implies First\:_{(group\: students)}=870}$

$\tt{\implies 6x=870}$

$\tt{\implies x=145}$

• Now calculate the no of students in 2nd:-]

$\sf{\implies Second\:_{(group\: students)}=11x}$

$\sf{\implies Second\:_{(group\: students)}=11*145}$

$\sf{\implies Second\:_{(group\: students)}=1595}$

• Now calculate total no of students in school:-]

$\sf{\implies Total\:_{(students\:in\: school)}=1ST\:_{(group\: students)}+2ND\:_{(group\: students)}}$

$\sf{\implies Total\:_{(students\:in\: school)}=1595+870}$

$\sf{\implies Total\:_{(students\:in\: school)}=2465}$

$\sf\large{Hence,}$

$\sf{\implies Total\:_{(students\:in\: school)}=2465}$

Answer 2

Given:

first group students=870

let

the ratio be x

so,

6x=870

x=145

therefore

total students in school=870+11×145=>870+1595=>2465