A pump assembly with a first pump to displace a first volume and a second pump to displace a second volume greater than the first volume. The first pump draws liquid from a reservoir and dispenses it to the second pump. The second pump draws in the discharge from the first pump and an additional volume of air such that the second pump discharges both liquid and air. The first pump preferably has a piston movable in a first inner chamber and the second pump has the same piston movable in a second outer chamber. The first and second chambers communicate together. In one version, a one-way valve provides flow outwardly only from the first chamber to the second chamber and the first pump discharges while the second pump draws in, and vice versa.