Step 1 :The problem is asking for the amount of zinc in a jar of chemical, given the ratio of zinc to copper and the amount of copper.
Step 2 :The ratio of zinc to copper is 4:13, which means for every 13 parts of copper, there are 4 parts of zinc.
Step 3 :We can set up a proportion to solve for the amount of zinc. The proportion is \( \frac{4}{13} = \frac{x}{416} \), where x is the amount of zinc.
Step 4 :We can solve for x by cross multiplying and dividing: \( x = \frac{4}{13} \times 416 \).
Step 5 :Performing the calculation gives \( x = 128.0 \).
Step 6 :Final Answer: The jar contains \( \boxed{128} \) grams of zinc.