109.93 lbs
since the quantities vary directly, then
w(moon) = kw(earth ) ← ( k is the constant of variation )
to find k use the given condition
k = w( moon ) / w( earth ) = [tex]\frac{25.66}{150.94}[/tex]
given w(earth) = 218.24
w(moon) = [tex]\frac{25.66(218.24)}{150.94}[/tex] = 109.93