Puzzle 233
A trout's tail weighs eight pounds.
Its head weighs as much as the tail and one-half of the body combined, and the body weighs as much as the head and tail combined.
What does the whole trout weigh?
Puzzle Copyright © Kevin Stone
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Hint
A little bit of algebra might help.
Answer
64 pounds.
The head weighs 24 pounds, the body weighs 32 pounds and the tail weighs 8 pounds.
The trout is made up of the head, body and tail, H, B and T.
We are told that:
T = 8
(1) H = T + B ÷ 2
(2) B = H + T
Placing T into (1) and (2) we get:
(3) H = 8 + B ÷ 2
(4) B = H + 8
Using (4) in (3) we get:
H = 8 + B ÷ 2
(5) H = 8 + (H + 8) ÷ 2
Multiplying (5) by 2 we get:
2H = 16 + H + 8
2H = 24 + H
H = 24
Therefore, by (2):
B = H + T
B = 24 + 8
B = 32
Giving:
H = 24
B = 32
T = 8
And a total of 24 + 32 + 8 = 64 pounds.
Puzzle 234
Can you complete the following four 5-letter words?
The missing letters, in order, spell an animal.
--UTE
C--EL
ST--G
CAR--
Puzzle Copyright © Kevin Stone
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Hint
The animal begins with the letter F.
Answer
Flamingo.
--UTE = FLUTE
C--EL = CAMEL
ST--G = STING
CAR-- = CARGO
Puzzle 235
How many hexagon-type shapes, in total, can you find in this puzzle? Clue: there are more than 45.
Puzzle Copyright © Kevin Stone
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Hint
Look at the different sizes.
Answer
There are 64 hexagon-type shapes in total.
There are 37 single hexagons, 19 hexagons that contain 7 smaller hexagons, 7 hexagons that contain 19 smaller hexagons, and one large hexagon that contains all of the smaller hexagons.
Puzzle 236
Add lines to this grid and create five areas that each have 4 letters, to spell five 4-letter words.
Puzzle Copyright © Elliott Line
This puzzle appeared in Mensa's EnigmaSig (194.34) and is used with permission.
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Hint
One of the words is FREE.
Answer
Dare, Shin, Typo, Free and Lawn.
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