This particular website suggests that the mixed cation/anion resin that they supply has a capacity of 12 kilograins per cubic foot of resin. In the note at the bottom, they state that 1 grain/gal = 17.1 ppm as calcium carbonate.
In your case, you've 60ppm after the RO unit. Assuming for the purposes of calculation that it's all calcium carbonate, then your water is 60/17.1 = 3.5 grains/gallon. You can therefore assume that you'll be able to process 12,000/3.5 = 3,428 gallons per cubic foot of resin. Obviously, the average container of resin in a standard water filtration holder is no where near a cubic foot. Bulk reef supply suggests that the most popular size for a DI cartridge is 2.5" x 10". Doing the math, you come up with a volume for that cartridge of 0.25 liters. Since a cubic foot is 28.3 liters, you finally arrive at 3,428 gal/cubic foot * (1 cu ft/ 28.3 L) * 0.25 L = 30.3 gallons.
There's a lot of assumptions and round-offs in that calculation, but even if it's too conservative by a factor of 2X, it probably makes the most sense to get a water softener for your home.