Recommendations for a modestly-priced audio system?

Well, that is what her budget allows.   BT will allow her to stream music to her system from her computer or iPhone via Tidal etc.
 

Do you have a specific Marantz amp in mind?  Your reference to bookshelf speakers on sale is unclear; can you clarify?  Thank you, Mark

A further question for consideration.  Might it be desirable to forgo a BT-enabled amp and go with an external BT device like the iFi Zen Blue device instead. Frankly, my friend is a casual listener and aging, like me, and wants to keep everything simple. 

Well, I knew you fellas would come up with some excellent suggestions and you have.  I am leaning towards the Cambridge AXA-85 receiver and the Tekton M-Lore speakers.  She will have the ability to connect her TT to the amp, but clearly her TT needs some upgrading or getting tossed into recycling.  Once she gets nice system and starts streaming music, I think she will abandon the notion of playing her old vinyl.  Thanks again for the suggestions and any further ones are welcome as well.   

Gents,
I visited my friend today to size up the situation and her needs.  She needs music is two zones: first, the upstairs area where her audio cabinet resides with existing crappy speakers on top of the cabinet, playing into her bedroom directly across from from the cabinet.  The other speakers will be in the LV on the ground floor and both pairs are connected to speaker wire.  Her TT looks pretty good, Quartz-something, I need to look at the photos of  it, but the stylus is canted 25 degrees sideways!  That is a distant, and costly, memory for me. 

My recommendation is for the Cambridge AXR85 receiver and a pair of Tekton M-Lores for the downstairs room.   Then swap out the crappy Kenwoods on the second floor with most anything that will be better -- the ELAC monitors would be a tremendous improvement over these existing speakers for a song.  

Here is the question that I can't quite plumb, from a functional standpoint.  Her goal is for her to be able to sit downstairs and be able to select the downstairs speakers with the remote.  Conversely, she wants to be able select the upstairs speakers on the remote and only play them?  Or perhaps select both pairs of speakers... again from the remote?

I guess what I am angling at is whether the remote can effectively "reach" through the ceiling from the main floor to the second floor to the receiver, maybe 30' or so, and still function, because that is a prerequisite.  If not, are there "boosters"  that would solve the connectivity issue?   I hope the question is clear enough.  

I would ask these Q's to Crutchfield when I order the receiver, but you fellas are my muse so I came to you to get the real story on the BT connectivity.  Thanks for any insights.   I will sort out this cheap and cheerful system for my friend very shortly and let you fellas get back to concentrating on HEA. 

BTW, have a nice system with a Don Sachs preamp, and a new VTV Audio Purifi amp with the Sparkos op amp, the latter of which is really impressing me with its astonishing clarity.  Don Sachs' preamp is wonderful. I have Buchardt S400 speakers and Spatial Audio M4 Triode Masters, both of which are very satisfying.   

I picked up a used SR Orange fuse a week ago and swapped it in my Sachs preamp, expecting to made of fool of, as my trials of everything in the past from SR has been a total bust.   As as fervent "anti-fuser", I will bear my heart and admit that the SQ was very nicely improved with the swapped fuse... a much clearer sound with more articulation to the notes.  Not quite as efficacious as the addition of the GAIA footers under my Spatials, but nevertheless very noticeable and favorable.   It is all good these days.  

Cheers.  

Great information, gents, for sure.  I will follow up with my pal at Crutchfield tomorrow about this remote control capability for further clarification.  She ordered the Tekton M-Lores for downstairs and I am steering her in the direction of Elac 6.2 monitors for the upstairs system.  It is gonna be a "cheap and cheerful" system that I am sure is going to give her a lot of enjoyment.  

I really appreciate the excellent responses, all of them, which have helped me help her out with sort out this system.  You fellas are top notch and your efforts are very much appreciated.