Question

Paulo works part time in a store every month. His monthly salary increases by the same amount every year. Three years ago, Paulo's monthly salary was two thousand seven hundred eighty-three dollars. Twelve years from now Paulo's monthly salary will be approximately eight thousand thirty-eight dollars. What will Paulo’s monthly salary be this year? Show all of your mathematical thinking.

Answer 1

Answer: $\ 3834$

Step-by-step explanation:

Three years ago Paulo's monthly salary was $\ 2783$

Twelve years from now Paulo's salary will be $\ 8038$

Suppose current salary is $\ x$

and  Yearly increment is $\ y$

So,

$\Rightarrow x-3y=2783\quad \ldots(i)$

and $\Rightarrow x+12y=8038\quad \ldots(ii)$

From (i) and (ii) we get

$\Rightarrow 15y=5255$

$\Rightarrow y=350.33$

and $x=2783+3\times 350.33$

$x=3834$

So, monthly salary this year is $\ 3834$