7/11 is the ratio of men that show up. So the least amount of men that can be in the group is 11 since 7/11 can not be reduced. There was a ratio of 4/7 woman that showed up. 4/7 can not be reduced either so we must multiply 4/7 until there are more woman than men. if u multiply by 2 u get 8/14. therefore there are 14 woman in the group.