Question 1142577
 One safe investment pays 10% per year, and a more risky investment pays 18% per year.
 A woman who has $138,600 to invest would like to have an income of $18,740 per year from her investments.
 How much should she invest at each rate?
 :
Let x = amt invested at 18%
then
(138600-x) = amt invested at 10%
:
.18x + .10(138600-x) = 18740
.18x + 13860 - .10x = 18740
.18x - .10x = 18740 - 13860
.08x = 4880
x = 4880/.08
x = $61,000 invested at 18%
then
138600 - 61000 = $77,600 invested at 10%
:
;
:
Check: find how much return on each investment
.18(61000) = 10980
.10(77600) =  7760
-----------------------
total return: 18740