SOLUTION: Please help me solve this word problem: Kathy invested $8000 for one year. Part at 3% and part at 5% simple interest. How much was invested in each account if the same amount of in

Question 1047912: Please help me solve this word problem: Kathy invested $8000 for one year. Part at 3% and part at 5% simple interest. How much was invested in each account if the same amount of interest was received from each account?
Thank you!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Please help me solve this word problem: Kathy invested $8000 for one year. Part at 3% and part at 5% simple interest. How much was invested in each account if the same amount of interest was received from each account?
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t + f = 8000 dollars
0.03t - 0.05f = 0
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Modify for elimination:
3t + 3f = 3*8000
3t - 5f = 0
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Subtract and solve for "f":
8f = 3*8000
f = $3000 (amt. invested at 5%)
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Solve for "t"
t = 8000-f = $5000 (amt. invested at 3%)
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Cheers,
Stan H.
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