What size tractor/mower?

Hi everyone I would really appreciate a little advice...I tend to buy bigger models than I need for everything but this time i'm on a budget..I'm purchasing a john deer mower for my mother to replace her push mower. I would estimate her yard to be somewhere in the 10,000 square foot range. A small section (maybe about 800 sf) is on a slope (Not REALLY steep, but steep enough that i have this concern)...... I was concerned that if I bought her the d105 it wouldn't be strong enough to go up a the hill.. I know nothing about this stuff. any suggestions? should I go with the d110? is there a big difference between these two mowers?


thanks so much!