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.
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Quantity: t + f = 37000
Interest:10t-5f = 100000
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Modify::
10t + 10f = 370000
10t - 5 f = 100000
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Subtract to get:
15f = 270000
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f = $18,000 (amt. invested at 5%)
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Solve for "t:::
t + f = 37000
t + 18000 = 37000
t = $19,000 (amt. invested at 10%)
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Cheers,
Stan H.
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The amount invested at 10% is $
The amount invested in stock is $
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