Question

A compound of sulfur and oxygen has a constant ratio of oxygen atoms to sulfur atoms. A certain amount of this compound of sulfur and oxygen has 12 oxygen atoms and 6 sulfur atoms. Complete the table.

Answer 1

In order to find the ratio, we can divide the number of sulfur atoms by the number of oxygen atoms:

$\frac{12}{6}=2$

Now, in order to fill the table, we can use the proportion between each column:

$\begin{gathered} \frac{6}{12}=\frac{9}{x}=\frac{12}{y}=\frac{z}{36} \\ \\ \frac{6}{12}=\frac{9}{x} \\ x=\frac{9\cdot12}{6}=18 \\ \\ \frac{6}{12}=\frac{12}{y} \\ y=\frac{12\cdot12}{6}=24 \\ \\ \frac{6}{12}=\frac{z}{36} \\ z=\frac{36\cdot6}{12}=18 \end{gathered}$