Outre Ornaments, Inc. sells baubles, gewgaws, and trinkets. While there, a customer spoke to three different salespeople.
- The first salesperson the customer talked to told him that any 7 baubles together with any 5 gewgaws have the same value as any 6 trinkets.
- The second salesperson he talked to told him that any 4 baubles together with any 9 trinkets have the same value as any 5 gewgaws.
- The third salesperson he talked to told him that that any 6 trinkets together with any 3 gewgaws have the same value as any 4 baubles.
- When the customer bought some of each kind of ornament, he found out exactly one of these salespersons was lying, while the other two told the truth.
Which salesperson was the liar?
2+3 produce 4b+9t=5g, 6t+3g=4b, giving the solution b=57n, g=60n, t=8n. Combining the first salesperson's claim with either of the others results in negative values. So salesperson 1 is lying.
Posted by broll
on 2013-03-12 23:49:45