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Answer:
I asked for 7 feet, 4 inches and my friend brought me 4 feet, 7 inches.
If we label what I asked for as A feet and B inches, which is (12 x A + B) inches, then I actually received B feet and A inches, which is (12 x B + A) inches. Which means that:
(5 ÷ 8) x (12 x A + B) = (12 x B + A)
Simplifying gives:
A = (91 ÷ 52) x B
As B is the number of inches, it can only be between 1 and 12 and must give A as a whole number of feet. B = 4 is the only possible value, which means that A = 7. So I originally asked for 7 feet, 4 inches. QED.
Puzzle 324
Six men, whose names are Fred Alberts, Larry Smith, Brian Martin, Marty Jones, Bill Edison, and John Fox were in an elevator together.
Suddenly, the lights went out. When the lights came back on, Fred Alberts' wallet was missing.
Detectives have investigated. They have questioned the suspects, the witnesses, and people who know the suspects. They have collected physical evidence (hair samples, fibre samples, etc.) from the crime scene. They have collected 14 clues, but have not been able to solve the crime.
Therefore, they have called in the world's greatest detective, YOU. You must now examine the clues and solve the crime.
No two suspects have the same weight, colour shoes, colour umbrella, colour car, or hair colour.
The suspect who owns a purple car was wearing tan shoes.
The suspect who weighs 180 pounds owns a green car.
Brian Martin owns a green car.
The suspect who owns a black car was wearing blue shoes.
The suspect who weighs 150 pounds was wearing tan shoes.
Marty Jones was carrying a purple umbrella.
John Fox has red hair.
Larry Smith weighs 210 pounds.
The suspect who weighs 190 pounds was wearing blue shoes.
The suspect who was carrying a red umbrella is not the one who was wearing black shoes.
The thief owns a black car.
The suspect who owns a white car is not the one who weighs 170 pounds.
Bill Edison was wearing brown shoes.
The suspect who weighs 190 pounds is not the one who has red hair.
We can rule out Fred from our investigations as he was the victim.
Brian Martin owns a green car. The thief owns a black car, so Brian Martin is not the thief.
The suspect who owns a black car was wearing blue shoes.
The suspect who weighs 190 pounds was wearing blue shoes.
The suspect who weighs 190 pounds is not the one who has red hair. Therefore, one suspect was wearing blue shoes, owns a black car, weighs 190 pounds, and is not the one who has red hair.
But Bill Edison was wearing brown shoes, John Fox has red hair, Larry Smith weighs 210 pounds, and Brian Martin owns a green car.
Therefore, the only suspect who could be this suspect is Marty Jones.
Since this suspect, Marty Jones, owns a black car and the thief owns a black car, he is the thief.
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My friend, Alex, struggles a little. I recently asked him to buy me some ribbon for my daughter's pretty pink bonnet.
Six men, whose names are Fred Alberts, Larry Smith, Brian Martin, Marty Jones, Bill Edison, and John Fox were in an elevator together.
