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?

Guest Sep 23, 2021

#1**+1 **

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.**

Guest Sep 23, 2021

#2**+1 **

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.**

Guest Sep 23, 2021