SOLUTION: I just can't seem to find a way to start this problem, we were told to use Systems to solve it and i just don't know were to start. here it goes Scott received $5000 as a gradua

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Question 129619: I just can't seem to find a way to start this problem, we were told to use Systems to solve it and i just don't know were to start. here it goes
Scott received $5000 as a graduation gift from his aunt and uncle. he invested the money in stocks and bonds. This year he received a 3percent annual return on the bonds but the stocks lost 2percent of their original value. If his total annual income from the investments was $80, how much did he invest in each?
Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
Scott received $5000 as a graduation gift from his aunt and uncle. he invested the money in stocks and bonds. This year he received a 3percent annual return on the bonds but the stocks lost 2percent of their original value. If his total annual income from the investments was $80, how much did he invest in each?
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Let amt. invested at 3% be "x"; interest is 0.03x dollars
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Amt invested at 2% is "5000-x"; interest is 0.02(5000-x)=100-0.02x dollars
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EQUATION:
gain - loss = 80 dollars
0.03x - (100-0.02x) = 80
0.05x = 180
x = $3600 (amount invested at 3%)
5000-x = $1400 (amount invested at 2%)
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Cheers,
Stan H.

Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website!
Let = his investment in bonds
Then will be his investment in stocks

Scott invested 3600 in bonds and 1400 in stocks