Problema Solution

The amount of money invested at 5% simple interest was half the amount invested at 7% simple interest. If the total yearly interest earned was $380, how much money was invested at each rate?

Answer provided by our tutors

let 'x' represent the amount invested at 5%, then '2x' represents the amount invested at 7%


interest = principal * rate * time

we assume time to be equal to 1


380 = 0.05x + 0.07(2x)

solving for 'x' we have x=2000


2000*2 = 4000


$2,000 was invested at 5%, $4,000 was invested at 7%