Can't work this out!!!!!

[Cumbria41]

Hi, can anyone work this problem out for me please. Seven women and renting a cottage for 7 nights at a cost of £700. Two of the ladies are only staying for two nights. Three of the ladies are staying for four nights and the last two ladies are staying for the seven nights.
How can I work out a fair payment for everyone?

[auntflo]

Total nights spent in cottage =
2 x 2 = 4
3 x 4 = 12
2 x 7 = 14

so 30 nights

cost per night = 700/300 = £23.33

[alid5]

Divide cost of cottage by No of nights, then divide answer by No of women ?

[factor-fiction]

Total number of woman-nights is (2x2)+(3x4) + (2x7)=4+12+ 14 =30.

Each woman-night costs £700 divided by 30= £23.33

So charge each woman £23.33 for each night they stay.
Two women pay £46.66 each ,
Next 3 pay £93.33 each
Other two pay £163.31 each

[alid5]

Like auntflo answer better :)

[starone]

Well, it works out the same. I gave up right away. My brain stopped functioning as soon as I started.

[rowanwitch]

divide £700 by the number of nights 2X2 =4 3x4 = 12 to get a per night plus 2X7 =14 so total 30 nights @23.33 per night call it £25 so the ladies spending 2 nights pay £50 each, the ladies spending 4 pay 100 and the other two pay 175 each giving £50 spare to pay for a few bottles of wine on the nights you are all together

[juliefer]

I agree with the £23.33 per person per night but it's rounded down to the nearest penny. Auntflo's and factor30's answers come to £699.93 so how about asking each of the seven women for an extra penny on top.

[rowanwitch]

there is of course tips for the cleaner etc so rounding up is better