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#