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All data from the CMS Nursing Home Compare site.
Obviously not all "elders" live in nursing homes -- the vast majority live on their own in the community.
I'm still working on summarizing the personal care/assisted living data for Allegheny County, but according to the PA Dept. of Public Welfare there are 6,453 residents living in 171 personal care homes/assisted living communities spread throughout the county (there is capacity for 8,835).