Question

The ratio of males to females at a party is 3 : 5

There are 12 more females than males.

How many people are at the party?

Answer 1

Step-by-step explanation:

$\huge\sf\underline\green{answer}$

given,

ratio of males to females at a party is 3:5

there are 12 mole females than males

to find,

how many people are in party?

let's understand:-

given there are two conditions by equating the two conditions we can get the total number of people in the party.

$\huge\fcolorbox{black}{pink}{solution}$

ratio of males to females at a party = 3:5 i.e $\sf\dfrac{3}{5}$

let the number of males be 'x'

.: number of females = x+12 i.e females are 12 more than males.

.: equating both.

$\sf\dfrac{x}{x+12}$ = $\sf\dfrac{3}{5}$

5(x) = 3(x+12)

5x= 3x+36

5x-3x-36 = 0

2x-36 = 0

2x = 36

x = $\sf\dfrac{36}{2}$

x = 18

.: number of men's in the party = x = 18

number of females in the party = x+12 = 18+12 = 30

.: number of female's in the party = 30.

total number of people in the party = number of men's in the party+number of women's party

= 18+30

= 48

.: total number of people in the party = 48.

hence ✓solved✓