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?

Question

7664 views around the world

You can reuse this answer
Creative Commons License

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#