Question

In a computer lab there are 4 computers for every 6 students.How many computers will be needed for 36 students.​

Answer 1

Answer:

Students on 4 computer = 6

students on 1 computer = 4/6

Computer needed for 36 students = 4×36/6 = 144/6

Computer needs for 36 students = 24

Step-by-step explanation:

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Answer 2

$\bf \bigstar \: \underline{Information \: provided \: in \: question:}$

➡ In a computer lab there are 4 computers for every 6 students that is Numbers of computer for 6 students = 4

$\bf \bigstar \: \underline{What \: we \: have \: to \: calculate} :$

➡The required number of computers will be needed for 36 students.

$\bf \bigstar \: \underline{Here} :$

➡ The number of computers for 1 students

$\rm : \implies\: \dfrac{Numbers \: of \: computer }{Numbers \: of \: students}$

$\rm : \implies\: \dfrac{4 }{6}$

$\bf \bigstar \: \underline{Now} :$

➡ The numbers of computer for 36 students

$\rm : \implies\: \dfrac{4 }{6} \times 36$

$\rm : \implies\: \dfrac{4 \times 36 }{6}$

$\rm : \implies\: \dfrac{144 }{6}$

$\rm : \implies\: 24$

$\bf \bigstar \: \underline{Therefore} :$

➡ The 24 computers will be needed for 36 students

$\bf \bigstar \: \underline{Alternate \: method} :$

➡ Assume that x computers be required for 36 students

$\bf \bigstar \: \underline{Then} :$

➡ By equivalent Ratio

⭐ Ratio of numbers of computers = Ratio of numbers of students

$\bf \bigstar \: \underline{Here} :$

$\rm : \implies\: 4 : x = 6 : 36$

$\rm : \implies\: \dfrac{4}{x} = \dfrac{6}{36}$

$\rm \implies \: 6 \times x = 4 \times 36$

$\rm \implies x = \dfrac{4 \times 36}{6}$

$\rm : \implies\: \dfrac{144 }{6}$

$\rm : \implies\: 24$

$\bf \bigstar \: \underline{Therefore} :$

➡ The 24 computers will be needed for 36 students.