Question

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 students in the school​

Answer 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

Answer 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

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

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

⠀⠀⠀⠀⠀⠀$\underline {\frak{\star\:Now \: By \: Substituting \: the \: known \: Values \::}}$

$\qquad :\implies \sf{ x = 20 \% \:of\:x\:+ 560 }$

$\qquad :\implies \sf{ x = \dfrac{20}{100} \:\times\:x\:+ 560 }$

$\qquad :\implies \sf{ x =0.2 \:\times\:x\:+ 560 }$

$\qquad :\implies \sf{ x =0.2 \:\:x\:+ 560 }$

$\qquad :\implies \sf{ x - 0.2x =\: 560 }$

$\qquad :\implies \sf{ 0.8x =\: 560 }$

$\qquad :\implies \sf{ x =\cancel {\dfrac{ 560}{0.8}} }$

$\qquad :\implies \bf{ x =700 }$

Therefore,

⠀⠀⠀⠀⠀$\therefore {\underline{ \mathrm {  The\:Total \;number \:of\:Students\:are\:\bf{700\: }}}}$

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