Answer:
- $10,000 in the 11% fund
- $5,000 in the stock
Step-by-step explanation:
Let f and s represent the amounts invested in the fund and in stocks, respectively. The problem statement gives rise to two equations:
f + s = 15000 . . . . . . . Susan invested a total of 15000
0.11f + (-0.05)s = 850 . . . . . her total return was 850
These can be solved by any of a variety of methods. Using elimination, we can multiply the second equation by 20 and add it to the first:
20(0.11f -0.05s) +(f + s) = 20(850) +15000
3.2f = 32000 . . . . . . . . . simplify
f = 10000
s = 15000 -f = 5000
Susan invested $10,000 in the fund and $5,000 in stock.
