Newsweek's "New Poll Low": Another revelation

At the top of this open thread, mcjoan points to a recent Newsweek poll showing Bush at a 26% overall approval rating.

Newsweek gives the by-party breakdown as follows:

Current Total	26%	65%	9%
Republicans	60%	25%	15%
Democrats	8%	87%	5%
Independents	20%	71%	9%

A little linear algebra (below the flip) reveals an interesting consequence of these figures:    Only 27% of the respondents identified as Republicans, while 41% identified as Democrats (or, alternatively, Newsweek weighted the data in this manner, although Mystery Pollster states that Newsweek does not weight by party.)  

I knew Democrats had an advantage in party ID, but fourteen points?  

Summary of calculations:  

I assumed that the percentages of respondents added up to 100% for each question, since Newsweek included a non-committal "Don't know/don't care" answer.  

Letting r, d, and i, represent the percentage of respondents who identified as Republicans, Democrats, and Independents, respectively, we get:

0.60r + 0.08d + 0.20i = 0.26
0.25r + 0.87d + 0.71i = 0.65
0.15r + 0.05d + 0.09i = 0.09

Solving this 3x3 system of equations leads us to:  
r = 27.27%
d = 40.91%
i = 31.82%