Question 304947
The average interest rate is:
(interest income from 11% account + interest income from 6% account)/(total amount invested in both) = 9.5%
Let {{{x}}} = amount invested @ 6%
Then {{{x + 2000}}} = amount invested @ 11%
{{{(.11*(x + 2000) + .06x)/(x + 2000 + x) = .095}}}
{{{.11x + 220 + .06x = .095*(2x + 2000)}}}
{{{.17x + 220 = .19x + 190}}}
{{{.02x = 220 - 190}}}
{{{.02x = 30}}}
{{{x = 1500}}}
{{{x + 2000 = 3500}}}
and
{{{1500 + 3500 = 5000}}}
You invested $5000 in all 
check:
{{{(.11*(x + 2000) + .06x)/(x + 2000 + x) = .095}}}
{{{(.11*(1500 + 2000) + .06*1500)/5000 = .095}}}
{{{(.11*3500 + .06*1500)/5000 = .095}}}
{{{(385 + 90)/5000 = .095}}}
{{{475/5000 = .095}}}
{{{475 = 475}}}
OK