Given that half of her investments in a 11% dividend and the other half in a stock paying 14% interest.
Let the total investment be 2x dollars. So, x is invested in 11% dividend and x in a stock paying 14% interest.
Interest on both the investment is given below:
[tex]\begin{gathered} 0.11x+0.14x=460 \\ 0.25x=460 \\ \frac{0.25x}{0.25}=\frac{460}{0.25} \\ x=1840 \end{gathered}[/tex]So, the total investment is 2x = 2(1840) = $3680.
