SOLUTION: A woman invested 25000$ in 2 business ventures. Last year she made a profit of 15% from the first venture but lost 5% from the second venture. If last year's income from the two in

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Question 206222: A woman invested 25000$ in 2 business ventures. Last year she made a profit of 15% from the first venture but lost 5% from the second venture. If last year's income from the two investments were equivalent to a return of 8% on the entire amount invested. How much has she invested in each venture?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A woman invested 25000$ in 2 business ventures. Last year she made a profit of 15% from the first venture but lost 5% from the second venture. If last year's income from the two investments were equivalent to a return of 8% on the entire amount invested. How much has she invested in each venture?
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0.15x - 0.05(25000-x) = 0.08(25000)
15x - 5(25000-x) = 8(25000)
20x = 200000+ 125000
x = $16250 (amt. invested at 15%)
25000-x = $8750 (amt. invested at 5%)
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Cheers,
Stan H.