John is quite the Casanova. Having broken most of the ladies' hearts in his hometown, he must now set his sights further a field. He is about to venture forth to visit his latest new girlfriend, Mary, whom he met through the classified ads in the news paper. In fact, they have never really met in person, but exchanged letters and photographs for several weeks. Now that John is finally about to make the lady's acquaintance in the flesh, he is understandably nervous. John has never been to the town where Mary lives. He finds the road well marked until he reaches a cross-roads where the signpost: has been tom down. The signpost has four signs pointy to the four possible destinations, but as it lays upon the ground it is impossible for John to know which road he should take. How can he determine the right road to follow ?
Two hikers stop for lunch. The first hiker has brought five sandwiches and the second has three. A third hiker arrives and joins the others, but realises that he has left his lunch behind. The other two decide to share their lunch with him, and agree to split the sandwiches equally. After lunch, the third hiker offers to pay the others 8 dollars for his share, but the others cannot agree how to divide the payment fairly . The first hiker says that it should be divided 5/3, the second hiker says that it should be split equally, and the third hiker says that he should pay 7 dollars to the first hiker and 1 dollar to the second. Who is right ?
TIPPING THE SCALES
Jenny weighs half David's weight, plus 30 pounds. David weighs 417 Jenny's total weight. What is the sum of their two weights?
AN ORNITHOLOGICAL PROBLEM
Robert has a large bird cage in his garden where he keeps canaries, parakeets and sparrows. Curious, his neighbour asks him how many of each species he has in the cage, and Robert answers; "All but four are canaries, all but four are parakeets, all but four are sparrows". How many of each bird are there ?