This is the concept of algebra, The fraction of children was: 3/8 fraction of adults was 1-3/8=5/8 fraction of men 3/4*5/8=15/32 fraction of women=5/8-15/32=5/32 Given that there was 140 more children than men, the fraction representing this will be: (3/8-5/32) =7/32 thus the total number of people will be: 1/(7/32)*140 =32/7*140 =640 the total number of people was 640