Question

in a certain chemical, the ratio of zinc to copper is 3 to 11. a jar of the chemical contains 539 grams of copper. how many grams of zinc does it contain? it contains grams of zinc.

Explanation:

Step1: Set up the proportion

Let \(x\) be the grams of zinc. The ratio of zinc to copper is \(3:11\), so \(\frac{x}{539}=\frac{3}{11}\).

Step2: Solve for \(x\)

Cross - multiply: \(11x = 3\times539\). Then \(x=\frac{3\times539}{11}\). Calculate \(539\div11 = 49\), so \(x = 3\times49\).

Answer:

\(147\)