can someone solve this problem with steps please?

Question

A student takes out two loans totaling $8000 to help pay for college expenses. One loan is a 6% simple interest, and the other is at 5% simple interest. The first-year interest is $420. Find amount of the loan at 5%.

Answer 1

If we invest $x at 6%, yhen

we invest $(8000-x) at 5%

 

I = prt

 

420 = x(.06) + (8000-x)(.05)

 

420 = .06x - .05x + 400

 

Finish solving for x to determine how

much is invested at 6%.  Subtract

tjat amount from 8000 to determine

the amount invested at 5%.