Blend two gold lots and calculate the resulting weighted purity, or solve how much of the second lot is required to reach a target purity.
The target-weight solution works only when the target purity lies mathematically between the known and second-lot purities.
Purity is a concentration, so the correct approach is to calculate the fine-gold amount contributed by each lot and divide the combined fine gold by total weight.
Yes. That is the basic use case for the target-purity mode.
The blended purity remains the same regardless of the weights.
A solution is not physically possible using only those two materials.