# 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?

Dec 2, 2016

6 years

#### Explanation:

Let Marshall's salary be "S_m
Let Jim's salary be$\text{ } {S}_{j}$
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 $\implies 36000 + 4000 n \text{ "=" } 51000 + 1500 n$Subtract $1500 n \mathmr{and} 36000$from both sides $4000 n - 1500 n = 51000 - 36000$$2500 n = 15000$Divide both sides by 2500 $n = \frac{15000}{2500} = \frac{150}{25} = 6\$