Math Geek :
there is NO CHANCE the psu will handle the card. reference design is 2 x 6-pin power and 225w power usage!! custom cards are more than that.
please do not suggest that a 300w unit can handle a 225w+ gpu plus the rest of the system. it won't have the power leads needed nor would it be able to run the card through anything short of magic. option is to replace the psu or replace the card but not even for 1 second is there any hope of being able to run the card with that psu.
Depends on the CPU tbh, although if the 300W PSU has cables to supply the card I don't see where the issue is. Ofc to be on the safe side I'd recommend at least a 500W PSU. But hell, my memory on the ol' 7850 is a bit hazy but just because a card requires 2 x 6 pin power doesn't necessarily mean it is going to use up the max 225W.
Pretty sure we can agree that the PSU will hardly power the system though XD