Question

The ratio of men to women in an office is $4:3$ If there are $15$women, find the number of men in the office?

Answer 1

Step-1: Given Information

$men:women=4:3$

$men:15=4:3$

let the number of men in the office is $\text{'}n\text{'}$

Now, $n:15=4:3$

Step-2: Write $a,b,candd$as $n:15=4:3$is written in the form of $a:b=c:d$

$a=n$ $b=15$ $c=4$ $d=3$

Step-3: Write mean terms and extreme terms

$meanterms:-$ $b=15$ $c=4$

$extremeterms:-$ $a=n$ $d=3$

Step-3: use $oneextreme=\frac{productofmeans}{otherextreme}$ to find number of men in the office

$oneextreme=\frac{productofmeans}{otherextreme}$

$n=\frac{15\times 4}{3}$

$n=\frac{60}{3}$ ( Simplify $\frac{60}{3}$by dividing by a common factor $3$in the numerator and denominator separately )

$n=20$

Hence, the number of men in the office is $20$