Hi Ilene,
The top 3" in the Jeromes Pedic 10" are 3 lb density memory foam so even without knowing the density of the polyfoam in the support layers it doesn’t meet the minimum quality guidelines I would suggest (4 lbs or higher) and I would tend to avoid it.
In terms of quality/durability the first mattress you linked would be a better choice.
There are too many variables, unknowns, and individual preferences involved for anyone to successfully recommend specific mattresses for someone else out of the many thousands of mattresses that are available in the market. I also don’t keep records of the specifics of all the materials in all the mattresses on the market (which is an impossible job in a market that is constantly changing) so you would need to find this out for any mattress you were interested in considering before I can make any meaningful comments. In terms of quality I would focus on memory foam mattresses that used memory foam in the range of 4 lbs or higher which is better quality and more durable than 3 lb memory foam. In more traditional innerspring mattresses I would focus on polyfoam that was in the range of 1.8 lbs density or higher in a one sided mattress and 1.5 lbs in a lower budget mattress where durability isn’t as big an issue or in a two sided mattress which can be flipped to extend the life of the mattress.
The information and guidelines on the site is designed to help you with “how” to choose rather than the specifics of “what” to choose which really isn’t possible to do on an individual level. I also don’t have any way to know which mattress would be the best match for someone else that is more accurate than their own personal testing (see mattress firmness/comfort levels in post #2 here).
If you find a mattress where your testing indicates that it is a good match for you (or your sons) in terms of PPP then I’m always happy to make comments about the quality of the materials inside it or to help you identify any weak links in the mattress if you can link to or list the specifics of all the layers and components.
If you let me know your city or zip code I’d be happy to let you know about the better retailers or manufacturers I’m aware of that are close to you that may have some better options or possibilities and there is also a link to a list of online memory foam retailers or manufacturers included in the tutorial post (it’s post #12 here to save you looking through it) which may also be worth considering if you are comfortable with an online memory foam purchase.
Phoenix