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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.

1 Answer

2 votes

Answer:
\$3834

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* 350.33


x=3834

So, monthly salary this year is
\$3834

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