Four-person household sizes a softener for very hard city water
Marcus and Sarah live in Phoenix with their two teenage kids. Their city water report listed 80 mg/L calcium and 25 mg/L magnesium. Calcium contributes 2.497 × 80 = 199.76 mg/L as CaCO3, and magnesium adds 4.118 × 25 = 102.95 mg/L as CaCO3. Together, 199.76 + 102.95 = 302.71 mg/L as CaCO3 — firmly in the very hard range, which starts at 180 mg/L.
Converting to grains per gallon makes softener sizing easier: 302.71 ÷ 17.118 = 17.68 gpg. Their family of four uses 60 gallons per person per day, so total daily flow is 60 × 4 = 240 gallons. At that hardness level, 17.68 × 240 = 4,243.2 grains of dissolved minerals enter their plumbing every day.
The softener resin holds 6,360 grains before it needs to regenerate. Dividing capacity by the daily load gives 6,360 ÷ 4,243.2 = 1.5 days between regeneration cycles. Each cycle consumes about 2.1 pounds of salt. Marcus and Sarah should plan to refill the brine tank about twice a week.