Firstly, what does the first line have to do with it - eggs arent fresh after 2 weeks surely!
probably went totally wrong somewhere but heres my workings - please point out where i went wrong!! It was VERY hard!
Start @ 00:07
5 Hens @ 6 per day = 6x5...30. 30x14 = 420 eggs.
9 Hens @ 4 per day = 9x4...36 36x14 = 504 eggs
10 hens @ 2 per day = 10x2...20 20x14 = 280 eggs
Thats 1204 eggs assuming they were consistent for the 2 weeks...
BUT
3 of the 4 per day hens didn't produce for 9 of 14 days
so 3x4 = 12 x 9 = 108
1204 - 108 = 1096
BUT
4 of the 6-per-day hens ran away after 4 days, but 3 of them were caught by the farmer's wife after 2 days
5x6 + 5x6 + 5x6 + 5x6 + 1x6 + 1x6 + 3x6 + 3x6 + 3x6 + 3x6 + 3x6 + 3x6 + 3x6 + 3x6
30 + 30 + 30 + 30 + 6 + 6 + 18 + 18 + 18 + 18 + 18 + 18 + 18 + 18
= 30x4days + 6x2days + 18x8 days
= 120 + 12 + 144 = 276
So... 420-276 = 144
So... 1096 - 144 = 952
BUT
8 of the 2-per-day hens stopped laying after 3 days but started again after 1 day
8x2 = 16 so 1 day of not laying = 16 less in total
So... 952 - 16 = 936
BUT
3 of the 6-per-day hens produced 2 extra eggs per day for 4 of the 14 days, and 1 extra eggs per day for 7 of the 14 days,
3(2x4)= 24 extra eggs
THEN
3 extra eggs a day for 7 days so 7x3 = 21
SO... 24+21 = 45 ADDED
So... 936 + 45 = 981
BUT
4 new 2-per-day hens added after 6 days to replace the 3 4-per-day hens that were eaten by the 2 foxes
So AFTER 6 days = 8 days with 4 hens laying 2 eggs a day = 8 eggs a day multiplied by 8 days
SO... 8x8 = 64
64 added to 981 = 1045
Finished at 00:30