Answer:
Alice Gleason invested 16000 each for 9% and 11% rate respectively
Step-by-step explanation:
Let
x = portion invested for 9%
y = portion invested for 11%
Then
x + y =32000 eqn(1)
0.09x + 0.11y =3200 eqn(2)
solving eqn(1) and eqn(2) simultaneously
multiply eqn(2) by 100 gives and eqn(1) by 9
9x +11y =320000 eqn(3)
9x + 9y = 288000 eqn(4)
subtract eqn(4) from eqn(3) to obtain y
2y = 32000
y=16000
substitute y=16000 into eqn(1) to obtain x
x=32000-16000
x=16000
