Miss Ramirez has invested $6,000 at 5%. How much additional money must she invest at 8% so that her annual income from the two investments will be 6% of the total amount invested?

6000*0.05 + X*0.08 = 0.06*(6000 +X)

Solve for X.

300 + 0.08X = 360 + 0.06X
60 = 0.02 X
X = $3000.