Question 128855
If she invested x dollars at 12%, then she invested 900 - x dollars at 9%, so:


{{{.12x + .09(900 -x)=96}}}


{{{.12x + 81 - .09x = 96}}}


{{{.03x=15}}}


{{{x=500}}}


So she invested $500 at 12% and the rest, $400 at 9%.


Check answer:

{{{500*.12=60}}}

{{{400*.09=36}}}


And {{{60+36=96}}}