AMC 12 2008a Problem 3

Suppose that $\tfrac{2}{3}$ of $10$ bananas are worth as much as $8$ oranges. How many oranges are worth as much as $\tfrac{1}{2}$ of $5$ bananas?

$\mathrm{(A)}\ 2 \mathrm{(B)}\ \frac{5}{2} \mathrm{(C)}\ 3 \mathrm{(D)}\ \frac{7}{2} \mathrm{(E)}\ 4$