Final answer:
Fran invested $300 in the 6% fund and $400 in the 5.5% fund.
Step-by-step explanation:
Let's assume Fran invested x amount of dollars in the 6% fund and (700-x) amount of dollars in the 5.5% fund.
The interest earned from the 6% fund would be x * 0.06 and the interest earned from the 5.5% fund would be (700-x) * 0.055.
According to the given information, the total annual interest is $40.50.
So, we can set up the equation x*0.06 + (700-x)*0.055 = 40.50.
Solving this equation will give us x = 300 and (700-x) = 400.
Therefore, $300 was invested in the 6% fund and $400 was invested in the 5.5% fund.