Female-female nonsexual interference competition is a major fitness determinant of biased sex ratio groups with high female density. What strategies can females use to overcome the negative impact of this competition? To answer this question we used flour beetles (Tribolium castaneum) where competing females from female-biased groups were already known to suppress each other's fecundity by secreting toxic quinones from their stink glands, indicating a unique chemical-driven interference competition. Surprisingly, increasing resources did not alleviate these fitness costs. Females also did not disperse more from the site of interference competition. Hence, the competition was influenced by neither the total resource availability nor the lack of opportunity to avoid chemical interference. Instead, protein sequestered via scavenging of nutrient-rich carcasses relaxed female competition by increasing fecundity and reducing the quinone content. Finally, stink gland components themselves triggered carcass scavenging and increased fecundity, indicating the possibility of a novel chemical-driven feedback loop to reduce the competition. In the present work we provide the rare analyses where multiple competing hypotheses were jointly tested to establish carcass scavenging as an important potential strategy to overcome the fitness costs of intrasexual female interference competition.