Nested multicompartment container

A web of flexible, multicompartment containers comprising:

• a first sheet;
• a second sheet opposed to the first sheet in the web, the first and second sheets being joined together along transverse joints spaced apart along a length of the web and extending transverse to the length of the web, the first and second sheets being joined together along a lengthwise joint adjacent a longitudinal edge of the web, adjacent pairs of transverse joints each defining a first flexible panel from the first sheet and defining a second flexible panel from the second sheet;
• a third sheet located at least partially between the first sheet and the second sheet;
• a fourth sheet located at least partially between the first sheet and the second sheet and generally opposed to the third sheet, the transverse joint joining the third and fourth sheets together with each other and with the first and second sheets, adjacent pairs of transverse joints each defining a third flexible panel from the third sheet and a fourth flexible panel from the fourth sheet, the third sheet and the fourth sheet being connected together along an edge extending parallel to the lengthwise extent of the web, the first and second flexible panels forming a first bag, and the third and fourth flexible panels forming a second bag separate from the first bag;
• a fastening system connected to the first sheet and the second sheet, the fastening system being configured for selectively opening and closing a top of the first bag and the second bag thereby to permit access to the first and second bags and to block access to the two separate compartments.