Problema Solution

In 2005 there were 17,700 students at college a with projected enrollment increase of 1000 students per year. In the same year there were 37,200 students at college b with projected enrollment decline of 500 students per year. When will colleges have same enrollment? What will enrollment be at each college?

Answer provided by our tutors

After x years the total enrollments in college a = 17700+1000x

After x years the total enrollments in college b = 37200-500x

So let they have equal enrollments is given as

17700+1000x = 37200-500x

=> 1500x = 37200-17700

=>1500x = 19500

=> x = 13 years

Enrollemnts = 17700+13*1000=30700