Explanation
From the given question, we will set up the relationship:
Santa earned two times as much as Mrs. Claus,
[tex]Santa\text{ = 2}\times Claus[/tex]Rudolph earned three times as much as Mrs. Claus.
[tex]Rudolph=3\times Claus[/tex]If Santa and Mrs. Claus earned a total of $150
Then
[tex]\begin{gathered} Santa+Claus=150 \\ but \\ Santa=2Claus \\ Then \\ Santa+Claus=2Claus+Claus=150 \\ 3Claus=150 \\ Claus=\frac{150}{3} \\ Claus=\text{ \$}50 \\ Santa=2Claus=2\times\text{ \$50=\$100} \end{gathered}[/tex]Then
[tex]Rudolph=3Claus=3\times\text{ \$50=\$150}[/tex]Hence
Claus earns $50
Santa earns $100
Rudolph earns $150
