Quantum droplets are quantum analogues of classical fluid droplets in that they self-bond and exhibit liquid-like properties such as incompressibility and surface tension, but their stability is the result of quantum fluctuations. . One of the leading systems for observing quantum droplets is the binary Bose gas. To maintain self-bonding in free space, the binary droplets must maintain a constant ratio between the densities of the two fluids. The work presented here goes beyond this fixed density ratio by investigating spherical droplets in unbalanced mixtures. This work found that these systems produced droplets immersed in background gas. By investigating the breathing modes of these imbalanced mixtures, we find that droplets emit particles into the surrounding gas, yielding a complex superposition of simultaneously damping collective oscillations.