SOLUTION: there were 3/4 as many women as there men in a train yesterday. at the next station, 12 women and 6 men got in. as a result, there were 6/7 as many women as men on the train. how m

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: there were 3/4 as many women as there men in a train yesterday. at the next station, 12 women and 6 men got in. as a result, there were 6/7 as many women as men on the train. how m      Log On


   



Question 150567This question is from textbook
: there were 3/4 as many women as there men in a train yesterday. at the next station, 12 women and 6 men got in. as a result, there were 6/7 as many women as men on the train. how many men and women were in the train at first? This question is from textbook

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Initially,
(1) w+=+%283%2F4%29%2Am
(2) w+%2B+12+=+%286%2F7%29%2A%28m+%2B+6%29
Substitute (1) in (2)
%283%2F4%29m+%2B+12+=+%286%2F7%29%2Am+%2B+36%2F7
Multiply both sides by 28
21m+%2B+12%2A28+=+24m+%2B+4%2A36
21m+%2B+336+=+24m+%2B+144
3m+=+192
m+=+64
And, since
w+=+%283%2F4%29%2Am
w+=+%283%2F4%29%2A64
w+=+48
At first, there were 64 men and 48 women