Math-modeling word problem?

Question

jack invests $1000 at certain annual interest rate and invest another $2000 at annual rate that is half% higher. if he receives a total $190 interest in one year, at what rate is the $1000 invested?

Answer 1

Use this formula:

Interest = Principal x Rate X Time

190   =     3000       x   R +.5    x     1...............Step 1

Not sure about step 2

Answer 2

1000(r) + 2000(r+0.005) = 190

3000(r) + 2000(0.005) = 190

3000(r) + 10 = 190

3000(r)  = 180

r  = 180/3000

r  = 6/100 = 6%