Question

1. apply math models in a chemical compound,

there are 3 parts zinc for every 16 parts copper,
by mass. a piece of the compound contains
320 grams of copper. write and solve an
equation to determine the amount of zinc in the
chemical compound.

Explanation:

Step1: Set up the proportion

Let \(x\) be the amount of zinc. The ratio of zinc to copper is \(3:16\). So, \(\frac{3}{16}=\frac{x}{320}\)

Step2: Solve the proportion

Cross - multiply: \(16x = 3\times320\)
\(16x=960\)
Divide both sides by \(16\): \(x=\frac{960}{16}\)
\(x = 60\)

Answer:

The amount of zinc in the chemical compound is \(60\) grams.