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Susan Marciano invested part of her $14,000 bonus in a fund that paid an 11% profit and invested the rest in stock that suffered a 5% loss. Find the amount of each investment if her overall net profit was $1,380 The amount invested at 11% is The amount invested in stock is $

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Answer

x = amount invested at 11% profit

y = amount invested in stock

x + y = 14.000 (equation)

0.11x - 0.05y = 1.380

x = 14.000 - y

0.11(14.000 - y) - 0.05y = 1.380

1.540 - 0.11y - 0.05y = 1.380

0.16y = 160

y = 10.000

x = 14.000 - 10.000

x = 4.000

amount invested at 11% = $4,000

amount invested in stock = $10,000

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