investment (pre-cal)

Question

Kate invested a total of 8000$ part at 5% and part at 6% simple interest. at the end of year 1, she made 454$ interest. how much was invested into each rate?

Answer 1

Let x =amount invested at 5%

let y = amount invested at 6%

 

x+y=8000

.05x+.06y=454

 

using these two equations solve for x and y