Question

Hey there,for the shared question (2nd question only),can someone type/write the step? I know how to find the answer but I’m not sure how exactly the steps are to be written.Thanks :)

Answer 1

Given :-

In a computer lab , there are 3 computers for every 6 students

To Find :-

How many computers will be needed for 24 students ?

Solution :-

I will here use concept of ratio and proportions . When two things/quantities are in proportion , their respective ratios are always equal

• If two quantities are in ratio . Say a , b and the ratio is a : b . So , a : b is equal to a/b

• If two ratio are in proportion say a : b : : c : d Then , a/b = c/d

__________________________

Let us assume that ;

• No. of computers required for 24 students = x

Now as 3 computers needed for 6 students and x computers needed for 24 students . So in proportion it will written as ;

${\quad \leadsto \quad \sf 3 : 6 :: x : 24}$

Furthermore , can written as ;

${ : \implies \quad \sf \dfrac{3}{6} = \dfrac{x}{24}}$

On cross multiplication ;

${ : \implies \quad \sf 6x = 3 \times 24}$

${ : \implies \quad \sf 6x = 72}$

${ : \implies \quad \sf x = \dfrac{72}{6}}$

${ : \implies \quad \sf x = \cancel{\dfrac{72}{6}}}$

${ : \implies \quad \bf \therefore \quad x = 12}$

Henceforth , 12 students will be their for 24 computers :D

Answer 2

Given,

In a computer lab, for every 6 students there are 3 computers.

i.e.,

• 6 Students = 3 Computers
• 1 Student = 3/6 Computers
• 1 Student = 1/2 Computer

Number of computer for 24 Student :

• 1 Student = 1/2 Computer

Then,

• 24 Students = 1/2 × 24 Computers
• Therefore, = 12 Computers

Hence, 12 Computers will be needed for 24 Students.