That's a total value of 5130 scraps (not the selling price).
-- The basic deck is about 1200 scraps.
= 3930 scraps left.
-- With a bit of luck you get 2 epics and 1 legendary you can use from kegs, worth 1200 scraps.
= 2730 scraps left.
-- You get 3 kegs per day playing 2 tiers. That's 150 scraps on average including GG and an occasional epic.
= 19 days to get a full deck when playing mostly casual.
= If you can make level 20 for a free Decoy + Ciri and some ranking level rewards you can probably push the number of days back to 15.
==> 15 days to get a fully competitive deck as F2P (with a little bit of luck)