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

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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:

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