Problema Solution

Jamie has a job paying $25,000 and expects to receive a $1000 raise each year. Wei has a job paying $19,000 a year and expects a $1500 raise each year. For what span of time is Jamie making more money than Wei?

Answer provided by our tutors

let 'x' represent the number of years in which Jamie makes more money that Wei, x is integer


25000 + 1000x > 19000 + 1500x


by solving we find


x < 12


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since x is integer we conclude that for 11 years Jamie will make money that Wei.


after 12 years they will take same salary since:


25000 + 1000*12 = 19000 + 1500*12.