This paper generalizes the model of collective rent-seeking over a public good. Expanding the rent seeker's consumption bundle to include preferences over the public good and a private good, our results suggest collective rent-seeking is positively related to group size. Although free riding exists within a group, there is not a one-for-one tradeoff. In addition, rent seeking increases with wealth. Finally, total effort expended by both groups increases if either group increases in membership size, except in the case of an extremely lopsided contest. The key condition underlying these results is that the marginal utility of the public good is not inversely related to the private good.