Puzzle 457
At a local village gala, the entire population turned up, 500 people.
The event raised £3,000.
Tickets were priced as follows:
£7.48 men
£7.12 women
£0.45 children
How many children were there?
Puzzle Copyright © Kevin Stone
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Hint
Try fixing the number of children to see what happens.
Answer
92.
With 149 men and 259 women. The best way is to fix the number of children and play around with the numbers of the men and women to see what happens as these are changed. It soon becomes apparent how changing the children changes the answer and 92 is soon found.
Puzzle 458
My BrainBashers electronic world atlas has developed a fault, I did a listing of miles from Scotland to particular countries, and here is the result:
England 12,000 miles
Peru 6,000 miles
Egypt 9,000 miles
Iceland 11,000 miles
How far away did it list Ethiopia?
Puzzle Copyright © Kevin Stone
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Hint
How many miles are vowels (AEIOU) worth?
Answer
11,000 miles.
Each vowel (AEIOU) is worth 1,000 miles, each consonant is worth 2,000 miles.
Double-Checking
Ethiopia has 5 vowels (EIOIA = 5 x 1,000), and 3 consonants (THP = 3 x 2,000), for a total of 5,000 + 6,000 = 11,000 miles.
Puzzle 459
In each of these sentences, can you replace the missing number.
The number is written as a word (e.g. five, twenty-four, thirty-three), and each sentence is correct after the replacement.
This sentence contains {?} letters, one hyphen, two commas and a full stop.
Interestingly, this sentence contains {?} letters, one hyphen, three commas and the final full stop.
Finally, this sentence contains {?} letters, one hyphen, three commas and one full stop.
Puzzle Copyright © Kevin Stone
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Hint
Start by counting the letters you're given.
Answers
This sentence contains sixty-seven letters, one hyphen, two commas and a full stop.
Interestingly, this sentence contains eighty-nine letters, one hyphen, three commas and the final full stop.
Finally, this sentence contains seventy-nine letters, one hyphen, three commas and one full stop.
Puzzle 460
Paintballing Weekend - Logic Puzzles
During an exciting weekend of paintball, four friends were having great fun.
The paintballs came in blue, green, yellow and red.
Coincidentally, the four friends had T-shirts in those same colours.
Billie used blue paintballs.
The person in the green T-shirt used yellow paintballs.
Charlie was not wearing a red T-shirt.
Drew used green paintballs and wore a blue T-shirt.
Alex was the only person who used paint which was the same colour as their T-shirt.
Can you tell which colour paint they each used and the colour of their respective T-shirts?
Puzzle Copyright © Kevin Stone
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Hint
Start by using clues (1) and (4), and then look at clues (5) and (2) to find who wore the green T-shirt.
Answer
Wore Paint
Alex red red
Billie yellow blue
Charlie green yellow
Drew blue green
Reasoning
By (1), Billie used Blue paintballs:
Wore Paint
Alex
Billie blue
Charlie
Drew
By (4), Drew used Green paintballs and wore a Blue T-shirt:
Wore Paint
Alex
Billie blue
Charlie
Drew blue green
By (5), Alex was the only person who used paint that was the same colour as their T-shirt, which means by (2) that Charlie wore the Green T-shirt and used Yellow paintballs:
Wore Paint
Alex
Billie blue
Charlie green yellow
Drew blue green
This leaves Alex with the Red paintballs, and by (1), the Red T-shirt.
Wore Paint
Alex red red
Billie blue
Charlie green yellow
Drew blue green
Leaving Billie wearing Yellow.
Wore Paint
Alex red red
Billie yellow blue
Charlie green yellow
Drew blue green
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