Question

A trades worker is considering a Jon offer in another city. Her current job pays $2950 per month and is in a city with a cost of living index of 98.3. The cost of living index in the new location is 128.5. If she were to maintain her present lifestyle, how much would she need to earn per month in the new job? (Hint: Cost of living must be directly proportional to salary).

Answer 1

Let:

x = Her new salary

using proportions:

$98.3\colon128.5=2950\colon x\Leftrightarrow\frac{98.3}{128.5}=\frac{2950}{x}$

solving for x:

$\begin{gathered} x=2950(\frac{128.5}{98.3}) \\ x=3856.307223 \end{gathered}$

She needs to earn approximately $3856