THE NUMBERS, EXPLAINED
How to use this calculator.
Two-source mass balance with no processing loss. Assays describe the same constituent; this sizes material only and gives no heating, melting or alloy-compatibility instructions.
Start with your inputs
Enter first metal mass (g), first metal assay (%), second metal assay (%), target blend assay (%). Keep amounts in the units shown on each field. The example is a starting point, not a recommended value.
| Input | Example value |
|---|---|
| First metal mass (g) | 10 |
| First metal assay (%) | 50 |
| Second metal assay (%) | 100 |
| Target blend assay (%) | 75 |
A worked example
With the example inputs above, second metal mass required (g) is 10. Change the inputs to explore your own scenario.
| Result | Example answer |
|---|---|
| Second metal mass required (g) | 10 |
| Total blend mass (g) | 20 |
| Constituent mass in blend (g) | 15 |
How this is calculated
Second metal mass required (g)
Solve constituent mass balance for the second source.
Total blend mass (g)
Add first and second source masses.
Constituent mass in blend (g)
Add the constituent mass from each source.
Symbols and units
- a
- First metal mass (g)
- b
- First metal assay (%)
- c
- Second metal assay (%)
- d
- Target blend assay (%)
Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.
Assumptions and limits
Two-source mass balance with no processing loss. Assays describe the same constituent; this sizes material only and gives no heating, melting or alloy-compatibility instructions.
Calculations use the values you enter. Blank or invalid inputs show an error instead of silently substituting zero. Results are displayed to useful precision; calculations retain the underlying numeric precision.
Questions about this tool
What does the result tell me?
Second metal mass required (g); Total blend mass (g); Constituent mass in blend (g). The result applies to the method and inputs described above. Check the units and assumptions before using it in a decision.
Why might another calculator differ?
Differences in units, rounding, timing or model definitions can produce different answers. Compare the input definitions and the method, rather than only the final number. For this tool: Two-source mass balance with no processing loss. Assays describe the same constituent; this sizes material only and gives no heating, melting or alloy-compatibility instructions.
Are my inputs stored or sent to AI?
Calculations on this page happen in your browser. The separate AI question finder sends its submitted conversation to OpenAI; these calculator fields are not sent. Favourites and recent tool names are stored locally. A shared link contains the inputs you choose to include.
Further reading
OpenStax Prealgebra 2e — arithmetic and proportions ↗
Background reading; this does not imply endorsement or independent review of SumFizz.
Review status
Software example and browser checks are recorded in our quality report. No external expert review is claimed. Created with coding assistance; calculations run as ordinary browser code.
Read the quality report →