First, you need to get things in its' own units.
40W X 8hr = 320Whr; 24W X 8hr = 192Whr; 100W X 10hr = 1000Whr Total - 1,500Whr/day
For 3 days of running you will need 4.5kWh of power. At 12V and no losses that is ~375AH. I will use a 50% pull-down of the batteries. That will be ~800 AH at 12V. That is 8, 200 AH 6V Batteries in series/parallel wireing.
If using solar, "PV", it will take 300W of panels at 5 hours of sun per day just 'to keep even'. 400W would allow one to recharge the 3 day depleted batteries in 3 days.
All this is with no losses and 100% inverter efficiency. I might suggest higher than 12V for the system batteries if you are planning on expanding.
Good luck,
Ron