Alice Gleason invested a portion of $32,000 at 9% interest and the balance at 11% interest

alice-gleason

#1

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