Since this ratio of each color in the carpet is give =>
10:7:3
To get the value for the silver yarn, we can apply the formula:
[tex]\begin{gathered} \frac{ratio\text{ of siler yarn}}{total\text{ ratio}}\text{ x Total meters} \\ \Rightarrow\text{ }\frac{3}{10\text{ +7+ 3}}\text{ x 160} \\ \Rightarrow\text{ }\frac{3}{20}\text{ x 160} \\ \Rightarrow\text{ 24 meters} \end{gathered}[/tex]