Final answer:
To find out how many grams of silver are needed to mix with the platinum to make platinum sterling, we need the ratio of platinum to silver in the alloy or the total desired weight of the alloy. Without this information, we cannot determine the exact amount needed.
Step-by-step explanation:
The question pertains to the calculation of the amount of silver needed to make an alloy called platinum sterling, which involves mathematical concepts such as ratios and algebra. Given that the platinum used costs $1,455.00 per gram and the silver costs $29.25 per gram, and that the alloy must reach a price point of $599.55 per gram, we need to calculate the weight of silver necessary to achieve this average price given the weight of platinum the jeweler has, which is 3,400 grams.
However, to properly answer the question, we would need one more piece of information: the ratio of platinum to silver in the alloy or the total weight of the alloy that needs to be produced. Without this, we cannot determine the exact amount of silver required. As such, it's not possible to provide a complete answer given the current information in the question. If we were to assume a specific ratio or total target weight, then we could use algebra to solve for the unknown quantity of silver.