find the amount of each investment

Question

Susan Maciano invested par of her $39,000 bonus in a fund that paid an 8% profit and invested the rest in stock that suffered a 5% loss. find the amount of each investment if her overall net profit was $2,900

Answer 1

Let x = money invested at 8%

 

then $39,000 - x was invested at 5%

 

.08x - .05(39,000 - x) = $2,900

 

Can you work it from here?

 

If not, let me know and I will help you.

Answer 2

Let X = amount invested at 8% and Y = amount invested at 5%. Two equations: X + Y = 39,000, and 

0.08 X - 0.05 Y = 2900. From first equation, Y = 39000 - X. Substitute this in 2nd equation and solve:

0.08 X - 0.05 (39000 - X) = 2900; 0.08 X = 1950 + 0.05 X = 2900; 0.13 X = 4850; X = 37,308. Then, back to first equation: 39000 - 37308 = 1592. Check the solutions of $37308 at 8% gain and $1592 at 5% loss.

37308 X 0.08 = 2985; 1592 X 0.05 = 80; 2985 - 80 = 2905 (slightly off, due to rounding of cents).