the ratio of boys to girls in a school is 3 : 4
there are 120 more girls than boys
how many students are there in the

2 thoughts on “the ratio of boys to girls in a school is 3 : 4<br /> there are 120 more girls than boys<br /> how many students are there in the”

1. Given :

   [tex] \sf \: The \: ratio \: of \: boys \: to \: girls \: in \: a \: school \: is \: 3:4 .[/tex]

   [tex] \sf \: There \: are \: 120 \: more \: girls \: than \: boys.[/tex]

   To Find :

   [tex] \sf \: We \: have \: to \: find \: the \: total \: number \: of \: students.[/tex]

   So, Let’s Start :

   Let us just assume that no. of Boys be 3M and no. of Girls be 4M.

   There are 120 more girls than boys.

   [tex] \sf \: As \: per \: the \: calculation : [/tex]

   [tex] \sf \: \implies{4M \: = \: 120 \: + \: 3M}[/tex]

   [tex]\sf \: \implies\sf {4M-3M\:=\:120}[/tex]

   [tex] \sf \: \implies{M\:=\:120}[/tex]

   [tex] \sf \: Therefore,[/tex]

   [tex] \sf \: Number \: of \: Boys \: = \: 3M \: = \: 3(120) \: = \: 360[/tex]

   [tex] \sf \: Number \: of \: Girls \: = \: 4M \: = \: 4(120) \: = \: 480[/tex]

   To find the total number of students in the school, We have to add the both number of boys and girls.

   [tex] \sf \: Total \: No. \: of \: Students \: = \: No. \: of \: Girls \: + \: No. \: of \: Boys.[/tex]

   [tex] \sf \: \implies{360 + 480} \: = \: 840[/tex]

   [tex] \sf \: So, \:Total \: No. \: of \: Students \: = 840.[/tex]

   Reply

2. [tex]\huge\underline{\underline\mathtt\color{pink}question}[/tex]

   The ratio of boys to girls in a school is 3 : 4. There are 120 more girls than boys. How many students are there in the school?

   [tex]{\dag\:{\underline{\boxed{\mathfrak{\purple{Answer}}}}}}[/tex]

   Given:–

   • Ratio of boy : girl is 3:4
   • girls = 120 + boys

   ____________________

   To find:–

   • Number of students in the school

   ____________________

   ➪ Let value of ratio be K.

   ➪ So the ratio of girl will be 4K and ratio of boy will be 3K.

   ➪ According to the question the equation will be

   • 4K = 120 + 3K

   ➪ 4K – 3K = 120

   ➪ K = 120

   —————————–

   ➦ So the value for K is 120.

   • Let us put the value of K in equation.

   ➮ So for girls it is 4K

   ➮ 4(120) = 480

   ➮ For boys it is 3K

   ➮ 3(120) = 360

   ==================

   So there are 480 girls and 360 boys in the school.

   Verification:–

   • 4K = 120 + 3K
   • 480 = 120 + 360

   Reply