Hi John. Thanks for replying. I may have mislead a bit using using that web search image link. The home is only 4.5 years old. I meant to simply show that it is the type of system with a float and arm to turn off the valve and a rubber type flapper that simply swings on the two hinge arms when flushed and then drops down to cover the seal with a float to hold it from dropping too fast allowing a sufficient flush time. Of course, like most modern toilets, to get a sufficient flush, you have to hold the handle for seconds to get enough power. I don't believe it had leaking issues for the first couple of years and then it starting getting worse. I thought that just cleaning the surfaces would be sufficient and/or replacing the flapper.
Interesting that I bought a flapper from Walmart (this model with ring removed http://www.walmart.com/ip/Plumb-Craft-Adjustable-Flapper/15389033
) and this fixed our toilet #2. But they only had one in stock. So I went to Lowes and got a "similar" one, but black, and it was worse than the original on toilet 1.
I went back to Walmart yesterday and they are still out of stock of the other model. So I ordered one from Amazon. I figured if it worked on the other toilet, maybe it will work on the first since they are the same everything. I'll let you know how futile that plan is.
What I find interesting in all the ads for this model flapper, http://www.walmart.com/ip/Plumb-Craft-Adjustable-Flapper/15389033
, is that it says it's "adjustable". That seems to be untrue. It is just a molded rubber flapper with no moving dials or parts and a chain to open it. That's it. Yet if you Google this model every single ad says it's adjustable. I wrote to one seller to see if I could figure out why this is being falsely advertised everywhere. Even on Ebay.
I did read that some experts find this type of flapper to be a frustrating type to get to seal well.
If this doesn't work out, I will buy a kit and replace the whole assy.