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?
[Ref: ZKSK] © Kevin Stone
Direct Link: www.brainbashers.com?ZKSK
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
H = T + B ÷ 2 (1)
B = H + T (2)
Placing T into (1) and (2) we get:
H = 8 + B ÷ 2 (3)
B = H + 8 (4)
Using (4) in (3) we get:
H = 8 + B ÷ 2
H = 8 + (H + 8) ÷ 2 (5)
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
H = 24
B = 32
T = 8
And a total of 24 + 32 + 8 = 64 pounds.
Can you complete the following four 5-letter words. The missing letters, in order, spell an living creature.
- - U T E
C - - E L
S T - - G
C A R - -
[Ref: ZFDK] © Kevin Stone
Direct Link: www.brainbashers.com?ZFDK
Hint: The creature begins with the letter F.
- - U T E >>
F L U T E
C - - E L >> C A M E L
S T - - G >> S T I N G
C A R - - >> C A R G O
How many hexagon-type shapes, in total, can you find in this puzzle. Clue: there are more than 45.
[Ref: ZEIA] © Kevin Stone
Direct Link: www.brainbashers.com?ZEIA
Hint: Look at the different sizes.
Answer: There are 64 hexagon-type shapes in total.
There are 37 single hexagons, 19 hexagons which contain 7 smaller hexagons, 7 hexagons which contain 19 smaller hexagons and one large hexagon which contains all of the smaller hexagons.
Add lines to this grid and create five areas that each have 4 letters, to spell five 4-letter words.
[Ref: ZPYT] © Elliott Line This puzzle appeared in Mensa's EnigmaSig (194.34) and is used with permission.
Direct Link: www.brainbashers.com?ZPYT
Hint: One of the words is FREE.
Dare, Shin, Typo, Free and Lawn.