Once you have unscrambled the following countries, the first letters can be anagrammed to make a hidden country. aadnorraehiioptceeegraaaacdgmrsanorwyaaimnoreemny
Reasoning aadnorr = Andorraaehiiopt = Ethiopiaceeegr = Greeceaaaacdgmrs = Madagascaranorwy = Norwayaaimnor = Romaniaeemny = Yemen
a + e + g + m + n + r + y = Germany.
???
Puzzle 199
As the auditor for my local theme park, I noticed that on Saturday there were 4,296 children and 2,143 adults and the takings were £98,718.
However, on Sunday, there were 5,146 children and 2,807 adults and the takings were £122,570.
How much were the children's tickets and adult's tickets?
Hint
This is quite a tricky puzzle, and knowledge of algebra would certainly help.
Answer
The children tickets were £14, and the adult tickets were £18.
Reasoning
There are a number of methods for solving this problem, including:
Using a spreadsheet.Using a computer program.Using the intersection of lines on a graph.Using an online equation solver.Solving simultaneous equations using algebra.Solving simultaneous equations using inverse matrices.
Here is my solution using simultaneous equations and algebra.
First construct two algebraic equations, where 'c' is the number of children, and 'a' is the number of adults:
4296c + 2143 x 18 = 98718 4296c + 38574 = 98718 4296c = 60144 c = 14
Double-Checking
c = 14 and a = 18
4,296 x 14 + 2,143 x 18 = 98,718
and
5,146 x 14 + 2,807 x 18 = 122,570
??
Puzzle 200
At a recent motorsport gathering, four proud owners were gathered around the silver sports car, each discussing their pride and joy.
Alex was overheard bragging about his brand new Stellar. The person whose surname was Smith went to great lengths to explain to Billie the virtues of his blue Lunar. The person whose surname was Wilshaw, and Dale, were already good friends. The person whose surname was Richards showed everyone a recent photo of his red Orbital. The person whose surname was Stone listened intently while Charlie kept talking about his green Galactic.
Who owns which car?
Reasoning
By (2) the Lunar was Blue, and was owned by Mr Smith.
By (4) the Orbital was Red, and was owned by Mr Richards.
By (5) the Galactic was Green, and was owned by Charlie.
Therefore the Stellar was silver, and by (1) was owned by Alex. Smith Blue Lunar RichardsRed Orbital Charlie Green Galactic Alex Silver Stellar
By (2), Mr Smith wasn't called Billie, so it must have been Billie Richards, and Dale Smith.
By (5) Mr Stone wasn't called Charlie, so it must have been Charlie Wilshaw, and Alex Stone. Dale Smith Blue Lunar Billie RichardsRed Orbital Charlie Wilshaw Green Galactic Alex Stone Silver Stellar
