A piece of luggage that includes a main body portion having a front and a back and a system for mounting the piece of luggage on an object. The system includes at least first and second receivers attached to the front of the main body portion, a horizontally oriented band and first and second rods. The horizontally oriented band includes a plurality of vertically oriented passages defined therethrough. The first receiver and one of the passages cooperate to define a first path and the second receiver and one of the passages cooperate to define a second path. The first and second rods are each respectively removably received in the first and second paths. In a preferred embodiment, the band includes a middle section having a vertically oriented slot defined therein and two adjustment sections extending outwardly from the middle section. A plurality of vertically oriented passages are defined through each of the adjustment sections and the mounting system also includes a vertically oriented strap extending from the front of the main body portion that is adapted to be received in the vertically oriented slot.