# Thread: Use an algebraic equation to find a solution (word problem)

1. ## Use an algebraic equation to find a solution (word problem)

Studying for test tomorrow and I'm stuck on how to create an equation for this word problem:

Linda invested $5000 at a local bank. Part was invested at 6% simple interest and the remainder at 10% simple interest. At the end of one year, Linda had earned$428 interest. How much was invested at each rate?

Any help is appreciated, thank you!!

2. ## Re: Use an algebraic equation to find a solution (word problem)

x = amount invested at 6%

5000 - x = amount invested at 10%

(.06)x + (.10)(5000 - x) = 428