SOLUTION: Susan Marciano invested part of her $33,000 bonus in a fund that paid a 11% profit and invested the rest in stock that suffered a 3% loss. Find the amount of each investment if he

Algebra ->  Finance -> SOLUTION: Susan Marciano invested part of her $33,000 bonus in a fund that paid a 11% profit and invested the rest in stock that suffered a 3% loss. Find the amount of each investment if he      Log On


   

Question 1046366: Susan Marciano invested part of her $33,000 bonus in a fund that paid a 11% profit and invested the rest in stock that suffered a 3% loss. Find the amount of each investment if her overall net profit was $1,530.
Found 3 solutions by josmiceli, addingup, MathTherapy:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = amount invested at 11% profit
+33000+-+x+ = amount invested at 3% loss
--------------------
+.11x+-+.03%2A%28+33000+-+x+%29+=+1530+
+.11x+-+990+%2B+.03x+=+1530+
+.14x+=+2520+
+x+=+18000+
and
+33000+-+18000+=+15000+
$18,000 was invested at 11% profit
$15,000 was invested at 3% loss
-------------------------------
check:
+.11x+-+.03%2A%28+33000+-+x+%29+=+1530+
+.11%2A18000+-+.03%2A%28+33000+-+18000+%29+=+1530+
+1980+-+.03%2A15000+=+1530+
+1980++-+450+=+1530+
+1530+=+1530+
OK

Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
0.11x+0.03(33,000-x) = 1,530
0.08x = 540
x = 6,750 is invested at 11%
33,000-6750 = 26,250 is invested at 3%
-------------------------
Check:
0.11*6750 = 742.50
0.03*26,250 = 787.50
. . . . . . --------
Total. . . 1,530 Correct
:
John

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!

Susan Marciano invested part of her $33,000 bonus in a fund that paid a 11% profit and invested the rest in stock that suffered a 3% loss. Find the amount of each investment if her overall net profit was $1,530.