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 proportion

Let $x$ be the amount of zinc. The ratio of zinc to copper is $\frac{3}{16}$. We know the amount of copper is 320 grams. So the proportion is $\frac{3}{16}=\frac{x}{320}$.

Step2: Cross - multiply

Cross - multiplying gives us $16x = 3\times320$.

Step3: Solve for $x$

First, calculate $3\times320 = 960$. Then, $x=\frac{960}{16}=60$.

Answer:

60 grams