Question

1. model with math 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 equation

Let \( z = \) mass of zinc (g). The ratio of zinc to copper is \( \frac{3}{16} = \frac{z}{320} \).

Step2: Solve for z

Cross-multiply: \( 16z = 3 \times 320 \). Calculate right side: \( 3 \times 320 = 960 \). Then \( z = \frac{960}{16} = 60 \).

Answer:

The amount of zinc is 60 grams. The equation is \( \frac{3}{16} = \frac{z}{320} \) and its solution is \( z = 60 \).