$\Sigma M_O = 0$
$\frac{1}{2}W(\frac{1}{2}D) = P(\frac{1}{2}D) + \frac{1}{2}W(\frac{1}{2}d)$
$\frac{1}{4}WD = \frac{1}{2}PD + \frac{1}{4}Wd$
$\frac{1}{4}WD - \frac{1}{4}Wd = \frac{1}{2}PD$
$\frac{1}{4}(D - d)W = \frac{1}{2}PD$
$W = \dfrac{\frac{1}{2}PD}{\frac{1}{4}(D - d)}$
$W = \dfrac{2PD}{D - d}$ answer