Problema Solution

Larry Mitchell invested part of his $35,000 advance at 6% annual simple interest and the rest at 9% annual simple interest. If his total yearly interest from both accounts was $2,970, find the amount invested at each rate.

Answer provided by our tutors

let 'x' represent the amount invested at 6%, then '35000-x' represents the amount invested at 9%


interest = principal * rate * time

we take time to be equal to 1 year


2970 = 0.06x + 0.09(35000-x)

solving for 'x' we have x=6000


35000-6000 = 29000


$6,000 was invested at 6%, $29,000 was invested at 9%