Question 258029
This question is modeled after the I = prt question. IN this case however, we have two investments. So we can write
I = prt + prt
based on the given information, we get
(i) {{{3390 = x(.15)(1) + (27000-x)(.09)(1)}}}
simplifying (i) , we get
(ii) {{{3390 = .15x + 2430 -.09x}}}
and then
(iii) {{{3390 = .06x + 2430}}}
subtracting, we get
(iv) {{{1060 = .06x}}}
and dividing, we get
x = $11,777.78 @ 15% 
and
27000 - x = $15,222.22 @ 9%.