Anita's sister had $6000 to invest. She invested part of this sum at 4% and the other part at 6%. If the annual return on the 6% investment is $15 more than the annual return on the 4% investment, find how much is invested at 6% rate.
Let the amount invested @ 6% =A
Amount invested @ 4% =6000 - A
Let the return on 4% investment =R
0.04*[6000 - A] = R.................................(1)
0.06A =R + 15...........................................(2), solve for A, R
A = $2,550 - amount invested @ 6%
$6,000 - $2,550 =$3,450 - amount invested @ 4%
R = $138.00 - return on the 4% investment.
$138 + $15 =$153 - return on the 6% investment.