There were 310 more women than men at a musical theatre. After 5/6 of the women and 3/4 of the men had left, there were 25 more women than men remaining behind. How many women were there at the musical theatre at first?
There were 310 more women than men at a musical theatre. After 5/6 of the women and 3/4 of the men had left, there were 25 more women than men remaining behind. How many women were there at the musical theatre at first?
Let the number of women ==W
The number og men ==310 - W
[1/6W] = [1/4 *[310 - W]] +25
W==246 - Number of women originally
310 - 246 ==64 - Number of men originally.
Sorry, I misread the question !! I took the number of men & women ==310.
Men ==M
Women ==M + 310
1 - 5/6 ==1/6 of women remaining
1 - 3/4 ==1/4 of men remaining
1/6 * [M + 310] ==1/4M + 25, solve for M
M==320 - Number of men originally
310 + 320 ==630 - Number of women originally.
