From the first statement (we take one off as Billy is a boy):
B − 1 = G
and similarly:
2 x (G − 1) = B
Substitute G from the first equation into the second equation to give:
2 x ((B − 1) − 1) = B
2 x (B − 1) − 2 = B
2 x B − 2 − 2 = B
2 x B − 4 = B
B = 4
which means that B = 4 and hence G = 3.
???
Puzzle 202
Matthew Shelborn frequently has to travel for his company, which gives him a chance to meet many people from all parts of the USA. In April, Matthew flew to five different US cities on business and he flew a different airline each time. During each trip he chatted with the person next to him, and no two people he talked to were in the same profession.
From the information, can you determine the date Matthew made each flight (each was on a Monday exactly one week apart starting on April 2nd), the airline he flew, his destination, and the profession of the person who sat next to him on each flight?
Three consecutive flights were, in order from first to last, the flight Matthew took with WTA Airways, the flight where he sat next to the teacher, and the flight he took to Atlanta. Matthew sat beside the sports coach on a flight some time earlier in the month than the one he took to Seattle. The week he flew Air Express was some time earlier in the month than the trip to Boston, which was some time earlier in the month than the trip where he sat next to the ballet dancer. It wasn't on the trip to San Diego where Matthew sat next to the doctor. Matthew didn't fly Skyways on his trip to Seattle, and he didn't fly WTA Airways on the trip where he sat next to the sports coach. Atlanta was not Matthew's destination on the trip where he made the acquaintance of the ballet dancer. The Fly America flight was exactly two weeks before the flight where Matthew passed the time chatting with the attorney.
Dates : April 2nd, April 9th, April 16th, April 23rd, April 30th
Airline : Air Express, Fly America, MidUSA Air, Skyways, WTA Airways
Destination : Atlanta, Boston, Chicago, San Diego, Seattle
Seat Mate : Attorney, Ballet Dancer, Doctor, Sports Coach, Teacher
Answer Date Airline Destination Seat Mate April 2nd WTA Airways Chicago Doctor April 9th Fly America San Diego Teacher April 16th Air Express Atlanta Sports Coach April 23rd Skyways Boston Attorney April 30th MidUSA Air Seattle Ballet Dancer
The trip to Atlanta (1), the trip where Matthew sat next to the ballet dancer (3), and the trip where Matthew sat next to the attorney (7) were among the last three trips [April 16th, 23rd, and 30th (intro)], and the trip to Atlanta wasn't the one where he met the ballet dancer (6) or the attorney. He flew WTA Airways exactly two weeks before the one to Atlanta, and he flew Fly America exactly two weeks before he sat by the attorney (7), so, these three are separate flights, in some order.
He didn't sit by the teacher on the trip to Atlanta (1), so the flight were he sat by the teacher was on one of the first two flights [April 2nd and April 9th (intro)], but it wasn't first [after WTA Airways](1), therefore, April 2nd flight was the WTA Airways flight, the one where he sat by the teacher was the April 9th flight, and the one to Atlanta was the April 16th flight, and he sat by the ballet dancer and attorney on the April 23rd and April 30th flight, in some order.
He didn't sit beside the sports coach on the WTA Airways flight (5) so that wasn't April 2nd, he sat beside the sports coach on the Atlanta flight [April 16th] and it was the April 2nd flight where he sat next to the doctor.
April 2nd [first flight, WTA Airways, doctor] wasn't to Seattle (2), Boston (3), or San Diego (4), that flight was to Chicago.
The April 9th flight wasn't to Seattle [after sports coach which was April 16th] or to Boston [after Air Express, which would have to be April 2nd, but WTA Airways was April 2nd (1)](3), so, on April 9th he flew to San Diego.
Boston wasn't the last destination (3), so it was his destination on April 23rd and Seattle was his destination on April 30th.
Boston [April 23rd] was before the one where he sat by the ballet dancer (3), so he sat by the ballet dancer on April 30th flight to Seattle, and it was on the April 23rd flight to Boston that he sat by the attorney.
Since he sat by the attorney on the April 23rd flight, then he flew Fly America on the 9th [exactly two weeks before](7).
He flew Air Express before the flight when he flew to Boston [April 23rd](3) so he flew Air Express on the 16th.
He didn't fly Skyways to Seattle [April 30th](5), so, he flew Skyways to Boston on the 23rd and his last flight that month was on MidUSA Air (intro).
?
Puzzle 203
A parent recently arranged a children's party, and had 187 sweets to give out equally to the children.
Each child had more than one sweet, and there were more children than there were sweets per child.
Answer
There were 17 children, with 11 sweets each.
Reasoning
If we number the clues: each child had more than one sweetthere were more children than there were sweets per child
187 only has the factors 1, 11, 17, 187. Therefore, the only possible answers are:
1 child, with 187 sweets each, which is not allowed by (2)
11 children, with 17 sweets each, which is not allowed by (2)
17 children, with 11 sweets each (*)
187 children, with 1 sweet each, which is not allowed by (1)
The weather at the Cape of Good Hope makes it a notorious location where many ships have been lost to the sea. Philip Wood, the famous diver, has discovered four ships that sank in the same spot, one on top of each other.
With some skill, Philip was able to determine the name, captain, cargo, destination and year built for all of the ships. The question is, can you?
During his first exploration of the site, Philip determined there were four ships: the Red Rover, the ship built in 1743, the ship captained by Quigley and the ship carrying tea that was bound for North America. The ship that carried a cargo of saffron was built after the ship that carried a cargo of tea. An entry in one ship's log found at the site indicated that the ship built in 1522 was carrying a valuable cargo of gold. One ship was carrying botanical specimens to France. Philip determined that this was not the Royal Bride. The Scarlet Queen, a pirate ship, was certainly built before the nineteenth century but not as early as the sixteenth. The captain of this ship was the famous rogue Clubfoot. The Wanderer was built after the Royal Bride. The Royal Bride's cargo was not tea and the Royal Bride was not travelling to the South Seas. Captain Bolton's ship was built before Clubfoot's and before The Royal Bride.
Ships : Red Rover, Royal Bride, Scarlet Queen, Wanderer
Year Built : 1522, 1688, 1743, 1817
Captain : Bolton, Clubfoot, Quigley, Vickers
Cargo : Gold, Saffron, Specimens, Tea
Destination : England, France, North America, South Seas
Answer Name Year Captain Cargo Destination Royal Bride 1743 Vickers Saffron England Scarlet Queen 1688 Clubfoot Tea North America Red Rover 1522 Bolton Gold South Seas Wanderer 1817 Quigley Specimens France
The ship built in 1522 was carrying gold (3). This is not the Scarlet Queen (5), the Wanderer (6) or the Royal Bride (7) so must have been the Red Rover. The Scarlet Queen was built in either 1688 or 1743 (5) and the Wanderer was built after the Royal Bride so the Wanderer was built in 1817 and the Royal Bride in either 1688 or 1743 so the captain of the Red Rover was Captain Bolton (7). The ship carrying tea was not the Red Rover (gold), the Royal Bride (6) or the Wanderer (2) so was the Scarlet Queen. The Scarlet Queen's destination was North America (1) and her captain was Clubfoot (5). The Scarlet Queen was not built in 1743 (1) so was built in 1688 and the Royal Bride was built in 1743. The Royal Bride was not carrying gold (Red Rover), tea (Scarlet Queen) or botanical specimens (4) so was carrying saffron and the Wanderer was carrying the specimens to France. Quigley was not the captain of the Royal Bride (1) so was the captain of the Wanderer and Vickers was the captain of the Royal Bride. The Royal Bride's destination was not the South Seas (6) so was England and the Red Rover's destination was the South Seas.
