**Alice Gleason invested a portion of $32,000 at 9% interest and the balance at 11% interest. How much did she invest at each rate if her total income from both investments was $3,200.**

**Answer:**

Say she invested x dollars at 9%. This means she invested the remaining

(32000-x) dollars at 11%. This gives you:

0.09(x)+0.11(32000-x)=3200

0.09x+3520-0.11x=3200

0.02x=320

x=16,000

32000-x= 16,000

So she invests 16,000 in each rate