Logic Problem Solution: Potato Chip Swap From the introduction, no two of the boys ended up simply exchanging potato chips. By clue 1, the chips Chris brought ended up with the boy who had cheddar cheese chips in his lunch. By clue 4, the Pringle boy's potato chips ended up with the one who brought salt & vinegar chips to school. So, Chris and the Pringle boy are two different boys. Since the Pringle boy didn't have the cheddar cheese potato chips to start with (9), the boy who brought the cheddar cheese chips for lunch is a third lunchmate to Chris and the Pringle boy. Similarly, since Chris didn't have the salt & vinegar chips in his lunch (7), the boy who started with the salt & vinegar chips is a fourth lunchmate to the three already named. By clue 5, the boy who started with the sour cream & onion chips ended up eating the cheddar cheese chips. Since Chris's chips ended up with the boy who brought cheddar cheese chips (1), from the introduction, Chris didn't end up with the cheddar cheese chips, or the two boys would have simply exchanged chips. So, the boy in clue 5 is either the fifth one to the four already enumerated or is the Pringle boy. If he were the fifth boy, Chris's chips would have gone to the boy who started with cheddar cheese chips (1) and the Pringle boy's chips would have gone to the boy who brought salt & vinegar chips (4). Since Chris didn't eat the salt & vinegar chips (7), the salt & vinegar chips would have had to have gone to the Pringle boy--but then the Pringle boy and the one who brought the salt & vinegar chips would have exchanged varieties, contradicting the introduction. So, the Pringle boy brought the sour cream & onion chips and ate the cheddar cheese chips. The boy who started with salt & vinegar ended up with sour cream & onion (4). Since Chris's chips went to the boy who brought the cheddar cheese chips (1), the fifth boy's chips went to Chris and the fifth boy ended up with the salt & vinegar chips. By clue 2, the Utz boy ended up with Eric's chips, so the Utz boy didn't start with cheddar cheese chips or he would have gotten Chris's (1). The Utz boy didn't end up with salt & vinegar, since Eric didn't bring salt & vinegar (13). The Utz boy isn't Chris (10). The Utz boy is the one who brought salt & vinegar and got sour cream & onion from Eric Pringle (2). Neither the Lay boy (3) nor the Wise boy (6) started with barbecue potato chips, so the Dorito boy did. Since he didn't end up with salt & vinegar chips (11), he is Chris. The boy who started with cheddar cheese chips ate barbecue (1) and is the Wise boy (3). The Lay boy started with rippled potato chips, which Chris ended up eating. Alex isn't Wise (6) or Lay (8) and is Utz. By clue 12, Donny's last name is Lay, and Ben's is Wise. The five boys swapped potato chips as follows:
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