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

Answer: men = 15 , women = 12

Step-by-step 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

Answer 2

The class room have 15 men and 12 women.

Step-by-step 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= $\frac{5}{9}$                 (∵ 9= 5+4, for men = $\frac{5}{9}$)

      Number of men in class

                        = Total people × Ratio of men

                        = 27 ×  $\frac{5}{9}$  

                     X =  15

               Men in class, X= 15.

Step:3

      For total women in class are,

                 ratio for women = $\frac{4}{9}$          (∵ 9= 5+4, for women = $\frac{4}{9}$)

     Number of women in class

                        = Total people × Ratio of women

                        = 27 ×  $\frac{4}{9}$

                    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.