Question

3) The ratio of men to women in a class is 5:4. There are 27 people in the class, hov

many are men and how many are women?

Can anyone solve this?

Answer 1

The class room have 15 men and 12 women.

Explanation:

The given is,

ratio of men:women = 5:4

Total people = 27

Step:1

Let, X= Men in class,

Y=Women in class,

Step:2

For total men in class are,

ratio for men=
`(5)/(9)` (∵ 9= 5+4, for men =
`(5)/(9)`)

Number of men in class

= Total people × Ratio of men

= 27 ×
`(5)/(9)`

X = 15

Men in class, X= 15.

Step:3

For total women in class are,

ratio for women =
`(4)/(9)` (∵ 9= 5+4, for women =
`(4)/(9)`)

Number of women in class

= Total people × Ratio of women

= 27 ×
`(4)/(9)`

Y = 12

women in class, Y = 12.

Step:4

Check for solution,

Total people = Men + Women

= 15 + 12

27 = 27

Result:

Men in class are 15 and Women in class are 12. Total number of people in class are 27.

Answer 2

Answer: men = 15 , women = 12

Explanation:

Ratio of men to women = 5:4

Total ratio = 9

number of people = 27

number of men = ration of men / total ratio x total number of people

That is :

number of men = 5/9 x 27

number of men = 3

Number of women = ratio of women / total ratio x number of people

That is :

number of women = 4/9 x 27

number of women = 12