Problema Solution

Phil has $20,000, part of which he invests at 8% interest and the rest at 6%. If his total income from the two investments after one year was $1460, how much did he invest at each rate?

Answer provided by our tutors

simple interest = principal * rate * time

we take time to be equal to 1


let 'x' represent the amount invested at 8%, then '20000-x' represents the amount invested at 6% and we have


1460 = 0.08x + 0.06(20000-x)

solving for 'x' we have x=13000


20000-13000 = 7000


Phil invested $13,000 at 8% and $7,000 at 6%