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 About the author Peyton
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
[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
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]
[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:–
____________________
To find:–
____________________
➪ 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 – 3K = 120
➪ K = 120
—————————–
➦ So the value for K is 120.
➮ 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:–