Question

In a certain​ chemical, the ratio of zinc to copper is 3 to 16. A jar of the chemical contains 656 grams of copper. How many grams of zinc does it​ contain?
Question content area bottom
Part 1
It contains
  
enter your response here grams of zinc.

Answer 1

Given the ratio of zinc to copper is 3 to 16, we can denote the amount of zinc as \( z \) and the amount of copper as \( c \). The ratio can be expressed as:

\[
\frac{z}{c} = \frac{3}{16}
\]

From this ratio, we can express the amount of zinc in terms of copper:

\[
z = \frac{3}{16} c
\]

You mentioned that the jar contains 656 grams of copper, so we can substitute \( c = 656 \) grams into the equation:

\[
z = \frac{3}{16} \times 656
\]

Now, let's calculate this:

\[
z = \frac{3 \times 656}{16}
\]

Calculating the numerator:

\[
3 \times 656 = 1968
\]

Now, divide by 16:

\[
z = \frac{1968}{16} = 123
\]

Thus, the amount of zinc in the jar is:

\[
\boxed{123} \text{ grams}
\]