Question

the ratio of the number of men to that of women in a party is 8:9.if the number of women is 54,find the number of men in the party.​

Answer 1

$\huge\mathtt{\underline{\underline{\red{Answer:-}}}}$

$\sf\implies 48$

$\huge\mathbb{\underline{\underline{\red{SOLUTION:-}}}}$

$\bold{Given}\begin{cases}\sf{Ratio\:of\:men\:and\:women}\\ \sf{\implies 8:9}\\ \sf{women=54}\end{cases}$

$\bf\underline{\underline{\pink{According\:to\: question:-}}}$

• Let the number of men be x

●8:9

$\sf 8:9=x:54$

Now to find the value of x :-

$\sf 8:9=x:54\\ \\ \sf\leadsto \frac{8}{9}=\frac{x}{54}\\ \\ \sf\leadsto Cross\: multiplication\\ \\ \sf\leadsto 8\times 54=9x\\ \\ \sf\implies 432=9x\\ \\ \sf\implies x=\cancel{\frac{432}{9}}\\ \\ \sf\implies x=48$

• The value of x is 48 which is the number of men in party .

The number of men in party is 48

#BAL

#answerwithquality

Answer 2

$\underline \mathbb{SOLUTION}$

$\underline \mathbb{GIVEN}$

»Ratio of men and women = 8:9

»Women = 54

$\underline \mathbb{ATQ}$

$\underline \mathbb{LET}$

»The number of men be x

»8 : 9 = x : 54

Now to find the value of x,

8 : 9 = x : 54

$= > \frac{8}{9} = \frac{x}{54}$

»Cross multiplication

$= > 8 \times 54 = 9x$

$= > 432 = 9x$

$= > x = \frac{432}{9}$

$= > x = 48$

•The value of x is 48 which is

•The no.of men in the party is 48.

»The no.of men in the party is 48.

#BAL

#Answerwithquality