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:

`(12)/(6)=2`

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

`\begin{gathered} (6)/(12)=(9)/(x)=(12)/(y)=(z)/(36) \\ \\ (6)/(12)=(9)/(x) \\ x=(9\cdot12)/(6)=18 \\ \\ (6)/(12)=(12)/(y) \\ y=(12\cdot12)/(6)=24 \\ \\ (6)/(12)=(z)/(36) \\ z=(36\cdot6)/(12)=18 \end{gathered}`