in a school 20% of students are below 9 years the number of students above 9 years of age is 560 what is the total number of stude

2 thoughts on “in a school 20% of students are below 9 years the number of students above 9 years of age is 560 what is the total number of stude”

1. Answer:

   • Total number of students in the school is 700.

   Step-by-step explanation:

   Given that:

   • In a school 20% of students are below 9 years.
   • The number of students above 9 years of age is 560.

   To Find:

   • What is the total number of students in the school.

   Let us assume:

   • Total number of students be x.
   • 20% of students are below 9 years = 20% of x

   Formula used:

   • Total students = Number of students below 9 years + Number of students above 9 years

   Finding the total number of students in the school:

   According to the question.

   ⇒ x = 20% of x + 560

   ⇒ x = 0.2x + 560

   ⇒ x – 0.2x = 560

   ⇒ 0.8x = 560

   ⇒ x = 560/0.8

   ⇒ x = 700

   ∴ Total number of students in the school = 700

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2. Given : In a school 20% of students are below 9 years the number of students above 9 years of age is 560 .

   Exigency To Find : The total number of Students.

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   ❍ Let’s Consider Total no. of Student be y .

   Given that ,

   • In a school 20% of students are below 9 .

   Therefore,

   • No. of Students below 9 years age = 20 % of x .

   As, We know that

   [tex]\dag\:\:\boxed{\sf{ Total \:no.\:of\:Students\:= \bigg(\:No.\:of\:Student \:Below \:9\;years \: + No.\:of\:Students \:above\:9\:years \bigg)}}\\\\[/tex]

   Where,

   • No. of Students below 9 years age = 20 % of x .
   • No. of students above 9 years of age is 560
   • Total no. of Student is x

   ⠀⠀⠀⠀⠀⠀[tex]\underline {\frak{\star\:Now \: By \: Substituting \: the \: known \: Values \::}}\\[/tex]

   [tex]\qquad :\implies \sf{ x = 20 \% \:of\:x\:+ 560 }\\\\[/tex]

   [tex]\qquad :\implies \sf{ x = \dfrac{20}{100} \:\times\:x\:+ 560 }\\\\[/tex]

   [tex]\qquad :\implies \sf{ x =0.2 \:\times\:x\:+ 560 }\\\\[/tex]

   [tex]\qquad :\implies \sf{ x =0.2 \:\:x\:+ 560 }\\\\[/tex]

   [tex]\qquad :\implies \sf{ x – 0.2x =\: 560 }\\\\[/tex]

   [tex]\qquad :\implies \sf{ 0.8x =\: 560 }\\\\[/tex]

   [tex]\qquad :\implies \sf{ x =\cancel {\dfrac{ 560}{0.8}} }\\\\[/tex]

   [tex]\qquad :\implies \bf{ x =700 }\\\\[/tex]

   Therefore,

   ⠀⠀⠀⠀⠀[tex]\therefore {\underline{ \mathrm { The\:Total \;number \:of\:Students\:are\:\bf{700\: }}}}\\[/tex]

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