Worked decision · Original example reviewed 2026-10-12 · Worksheet checked 2026-10-29

Combine compatible areas before rounding

For the same product/color, 208 ft² at 208 ft² per small pail and 155 ft² at 155 ft² per small pail sum to 2 small pails. Using the independent large yields, 208/418 + 155/314 = 0.991238 → 1 large pail. Rounding each area first would over-order two large pails. Do not combine different colors just to reduce the order.

The two coverage figures are planning inputs; confirm the chosen grout label yield for each tile and joint before rounding the combined order.

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Primary sources & calculation review

Original example reviewed 2026-10-12 by TwoCut Tools using Codex; worksheet arithmetic checked 2026-10-29. The cited grout instructions provide product context; TwoCut combined the entered coverage equivalents, without a customer installation or manufacturer endorsement.

Inputs and alternative plans

Two compatible areas of 30 and 50 ft²; respective small label coverages 30 and 50 ft², and large coverages 75 and 125 ft²; 25% allowance.

Independent arithmetic comparison
Area or totalSmall pack equivalentsLarge pack equivalentsRound after combining
30 ft² zone30/30 = 130/75 = 0.4Do not round here
50 ft² zone50/50 = 150/125 = 0.4Do not round here
Combined with 25%2 × 1.25 = 2.50.8 × 1.25 = 1Small: 3; large: 1

What changes the order?

Rounding each area independently would over-order a shared package. Add fractional requirements, apply the common allowance once, and then choose one package plan. Never add the small and large package totals together.

Before using this result

Combination requires one compatible product and color. Yield depends on tile dimensions, joint width and depth; each area must use its own documented label coverage.

Worksheet: add package fractions before buying

Plan two compatible areas using the same grout product and color: zone A is 30 square feet, zone B is 50 square feet. For the small package, enter label coverages of 30 and 50 square feet respectively; for the large package, enter 75 and 125 square feet. Those differing zone coverages stand in for different tile and joint configurations. Apply one 25% allowance to the combined package equivalents. The calculator compares small and large packaging as alternatives, so never add both order counts together.

StepSmall-package equivalentsLarge-package equivalents
Zone A30/30 = 130/75 = 0.4
Zone B50/50 = 150/125 = 0.4
Sum before allowance1 + 1 = 20.4 + 0.4 = 0.8
Add 25% once2×1.25 = 2.50.8×1.25 = 1.0
Whole-package orderceil(2.5) = 3 small packagesceil(1.0) = 1 large package

Here the 25% allowance is entered as 25, not 0.25. If each zone is rounded after allowance and then added, the small plan becomes ceil(1.25) + ceil(1.25) = 4 packages. The large plan becomes ceil(0.5) + ceil(0.5) = 2. Both overstate the combined purchase because the unused fraction of one package can serve the other compatible zone. If the zones use different colors or incompatible product batches, however, shared packaging is invalid and the two orders must remain separate.

Keep each label coverage tied to its tile and joint specification. The example does not assert that every real package covers 30, 50, 75 or 125 square feet; these are entered scenario values. Replacing one zone's joint width or tile thickness changes its coverage entry even if floor area stays constant. Verify the current technical sheet for the chosen grout, and check whether the manufacturer expresses coverage per physical package size you can actually buy.

Write the final decision as either three small packages or one large package, then compare actual supplier prices, availability and handling constraints. The calculator does not optimize price or certify that its selected label yields will be achieved on site. Enter both zones in one grout plan to preserve the unrounded totals and selected allowance.