Question 574456
Let x=amount invested at 5% annual interest
so 10000-x = amount invested at 6% annual interest

0.05x + 0.06(10000-x) = 550
0.05x + 600 - 0.06x = 550
-0.01x = -50
x = 5000
10000-x = 5000
Answer: $5000 invested at 5% interest and the remaining $5000 invested at 6% interest.