The number of women in
Mouse Trap is [MATH]8[/MATH]
Checkers is [MATH]12[/MATH]
Pictionary is [MATH]4[/MATH]
Hi Ho! Cherry-O is [MATH]11[/MATH]
The game of life is [MATH]1[/MATH]
I will assume to distribute the [MATH]300[/MATH] women in the groups with their giving rations
each [MATH]36[/MATH] women can be distributed in the groups, so we can guess what [MATH]36 \cdot 8 = 288[/MATH] women will choose, but [MATH]12[/MATH] women will remain whom we don't know what they will choose
Mouse Trap is [MATH]8 \cdot 8 = 64[/MATH]
Checkers is [MATH]12 \cdot 8 = 96[/MATH]
Pictionary is [MATH]4 \cdot 8 = 32[/MATH]
Hi Ho! Cherry-O is [MATH]11 \cdot 8 = 88[/MATH]
The game of life is [MATH]1 \cdot 8 = 8[/MATH]
but if we are allowed to cut women into pieces, each group will have
Mouse Trap is [MATH]8 \cdot 8 = 64 + \frac{8}{3}[/MATH]
Checkers is [MATH]12 \cdot 8 = 96 + \frac{12}{3}[/MATH]
Pictionary is [MATH]4 \cdot 8 = 32 + \frac{4}{3}[/MATH]
Hi Ho! Cherry-O is [MATH]11 \cdot 8 = 88 + \frac{11}{3}[/MATH]
The game of life is [MATH]1 \cdot 8 = 8 + \frac{1}{3}[/MATH]
total of [MATH]300[/MATH] women