The way I started thinking about the problem is, you've got $1.10 to spend in total. $1 is spent on the difference between the bat and the ball. That leaves $.1 which is split evenly between the bat and the ball.
So what I end up doing is, as Tordmor says below:
1.10 - 1 = .10
.10 / 2 = .05
This is essentially the explanation given by wedrifid but I wrote it before reading his and tried to format it more consistently with your comment below.
That leaves $.1 which is split evenly between the bat and the ball
Why is it split evenly? (I'm just wondering what your thought process is)
"orpnhfr gung tvirf gur evtug nafjre" vf npprcgnoyr ohg V thrff vg'f fbzrguvat zber guna gung
http://psychcentral.com/news/2011/09/21/cognitive-style-tends-to-predict-religious-conviction/29646.html
I think this is the source but I can't be sure:
http://www.apa.org/pubs/journals/releases/xge-ofp-shenhav.pdf
http://lesswrong.com/lw/7o4/atheism_autism_spectrum/4vbc
Reddit /r/psychology discussion