Question

1/3 of a group of people are men. If the number of women is 400 more than the men, find the total number of people.

Answer 1

Step-by-step explanation:

let total be x

men = (1/3)*x

women = 400 + [(1/3)*x] = (1200 + x)/3

total number of people = men + women

                x                    = (x/3)  +  (1200+x)/3

                x                    = (x+1200+x)/3

               x*3                  = 1200 + 2x

             3x-2x                = 1200

                x                     = 1200

Total number of people 1200