Question

Mrs. Claus, Santa, and Rudolph earned money doing odd jobs. Santa earned two times as much as Mrs. Claus, and Rudolph earned three times as much as Mrs. Claus. If Santa and Mrs. Claus earned a total of $150, how much did each person earn?

Answer 1

Step-by-step explanation

From the given question, we will set up the relationship:

Santa earned two times as much as Mrs. Claus,

`Santa\text{ = 2}* Claus`

Rudolph earned three times as much as Mrs. Claus.

`Rudolph=3* Claus`

If Santa and Mrs. Claus earned a total of $150

Then

`\begin{gathered} Santa+Claus=150 \\ but \\ Santa=2Claus \\ Then \\ Santa+Claus=2Claus+Claus=150 \\ 3Claus=150 \\ Claus=(150)/(3) \\ Claus=\text{ \$}50 \\ Santa=2Claus=2*\text{ \$50=\$100} \end{gathered}`

Then

`Rudolph=3Claus=3*\text{ \$50=\$150}`

Hence

Claus earns $50

Santa earns $100

Rudolph earns $150