Marshall earns a salary of $36,000, and each year he receives a $4,000 raise. Jim earns a salary of $51,000, and each year he receives a $1,500 raise. How many years will it take before Marshall and Jim earn the same salary?

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Answer 1 · 2016-12-02T16:52:32

6 years

Let Marshall's salary be $"S_m$
Let Jim's salary be $" "S_j$
Let the count in years be $n$

$S_m=$36000+4000n$
$S_j=$51000+1500n$

Set $S_m=S_j$

For convenience lets drop the $ symbol

$=> 36000+4000n" "=" "51000+1500n$

Subtract $1500n and 36000$ from both sides

$4000n-1500n = 51000-36000$

$2500n=15000$

Divide both sides by 2500

$n=15000/2500 =150/25 = 6$