SOLUTION: Jane doe invested part of her $37,000 bonus in a fund that paid a 10% profit and invested the rest in stock that suffered a 5% loss. Find the amount of each investment if her overa

Question 821372: Jane doe invested part of her $37,000 bonus in a fund that paid a 10% profit and invested the rest in stock that suffered a 5% loss. Find the amount of each investment if her overal net profit was $1,000.
The amount invested at 10% is $
The amount invested in stock is $

Please help! Thank you!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Jane doe invested part of her $37,000 bonus in a fund that paid a 10% profit and invested the rest in stock that suffered a 5% loss. Find the amount of each investment if her overal net profit was $1,000.
---------
Quantity: t + f = 37000
Interest:10t-5f = 100000
----------------------------
Modify::
10t + 10f = 370000
10t - 5 f = 100000
------------------------
Subtract to get:
15f = 270000
-----
f = $18,000 (amt. invested at 5%)
----
Solve for "t:::
t + f = 37000
t + 18000 = 37000
t = $19,000 (amt. invested at 10%)
------------------------
Cheers,
Stan H.
=======================

The amount invested at 10% is $
The amount invested in stock is $

RELATED QUESTIONS
Susan Marciano invested part of her $24000 bonus in a fund that paid 10% profit and... (answered by solver91311)

Susan Marciano part of her $30,000 bonus in a fund that paid a 10% profit and invested... (answered by richwmiller)

Susan Marciano invested part of her $15,000 bonus in a fund that paid an 11% profit and... (answered by jorel1380)

Susan Marciano invested part of her $33,000 bonus in a fund that paid a 11% profit and... (answered by josmiceli,addingup,MathTherapy)

Susan Marciano invested part of her $23,000 bonus in a fund that paid a 9% profit and... (answered by ikleyn)

Susan Marciano invested part of her $36,000 bonus in a fund that paid a 9% profit and... (answered by solver91311)

susan Mariano invested part of her $27000 bonus in a fund that paid an 11% profit and... (answered by checkley77)

Susan invested part of her $23,000 bonus in a fund that paid an 11% profit and invested... (answered by mananth)