Question 945688

The investments produced a total of ${{{296}}} interest in 1 year:

Step 1) {{{.09x+.08(x-1400)=296}}}
Step 2) {{{100(.09x+.08(x-1400))= 296(100)}}}
Step 3) {{{9x+8x-11200=29600}}}
Step 4) {{{17x= 29600+11200=40800}}}
Step 5) {{{x= 40800/17}}}=>{{{highlight(x=2400)}}}
Step 6) {{{x-1400= 2400-1400}}}
Step 7) {{{highlight(x- 1400 = 1000)}}}
Step 8) he invested ${{{2400}}} at {{{9}}}% and ${{{1000}}} at {{{8}}}% 
Step 9){{{ total_investment=2400+1000=3400}}}

check:

{{{9}}}%  of {{{2400}}} is {{{2400*(9/100)=24*9=216}}}
{{{8}}}% of {{{1000}}} is {{{1000(8/100)=10*8=80}}}

{{{216+80=296}}} which confirms our answer