The correct answer is (a) 16/21
Easiest explanation: The ratio of moles is the same as the ratio of partial pressures.
The ratio of densities:
d1/d2= (m1/V)/(m2/V)
= m1/m2= (n1M1)/(n1M2),
where n is the number of moles and M is the molecular mass. d1/d2= (2/3)*(16/14)
= 16/21.