A small set of allocation principles is said to be behind several theories of distributive justice. However, disagreement about the appropriate relationship between these notions remains, so that compromises between principles may generate more agreement. Truncated utilitarianism is a prominent candidate. It demands maximising total wealth subject to a floor level of individual wealth for all people. Based on some well-known distributive notions, we developed a questionnaire setting and confronted student respondents with corresponding allocation problems, where an exogenously given poverty (...) line served as a floor. However, support for allocations resulting from this specific interpretation of truncated utilitarianism remained rather low. This is surprising because the respective solution was close to an equal split of resources, and aspects of efficiency and responsibility were explicitly introduced to promote more general acceptance. We argue that people may either wish to see higher floor levels or are more inequality averse than probably expected. Moreover, high support for an unconditional consideration of the poverty line can be witnessed, even though aspects of responsibility, but not efficiency arguments, display an influence. In general, attitudes with respect to the equality–efficiency trade-off are found to remain heterogeneous, although different equality concerns are prominent. Furthermore, trade-offs are moderated by the responsibility principle. (shrink)