Think of 1+1, 1+4, 1+9 as ratios.
In the world of photography, the correct notation as you describe it is not generally used. It causes much confusion among others who wander into photography from other disciplines.
In photography a 1 to 1 blend means one part A plus one part B and is denoted 1+1 or 1:1
In photography a 1 to 2 blend means one part A plus two parts B and is denoted 1+2 or 1:2
One advantage to the common photographic notation is that it makes it easy to call out a more complex mix from a final formula that is comprised of several stock solutions - say from three stocks and water. For Example: ABC Pyro has rthree stock solutions, A, B, and C. It is easy to call out: "For tray development 1+1+1+7" or "For tank development 1+1+1+11"
Another benefit is that one needn't make any calculations to find out how much water is needed to add, since it is explicitly called out.
Regardless of what system is used, the plus sign is a much better way to denote the photographic usage, and lessens any chance of confusion. The : sign is used in photography as if it were the + sign.
If I saw a 1:1 dilution specified in a photography book, I would definitely assume that 1+1 was meant, and I think that most other people would do the same.
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