Random Puzzles 

Workings

Hint
A 3-letter word becomes a 4-letter word.

Answer
Red.

Reasoning
red + a = read.

Workings

Hints
The first letters of the words are: B, S, E, W, E, L, P, C.

Answers
Any animal that fits is correct, but these are possible answers:
fahjec   = badger (barbet, gannet, marten) qsaxe    = snake (crane, skate, whale) eep      = eel zoth     = wolf (fowl, lory, moth, pony, worm) epessawx = elephant feyuv    = lemur (xerus) zowqud   = possum pol      = cow (cod, dog, fox, hog)

Workings

Hint
Does the number of adults and children matter?

Answer
3,672.

Reasoning
The actual number of adults and children doesn't actually matter.

If all of the people were adults, then half of them (306) would be given 12 sweets:

  306 x 12 = 3672

If all of the people were children, then three quarters of them (459) would be given 8 sweets:

  459 x  8 = 3672

If there were 512 adults (so 256 would get 12 sweets = 3072) and 100 children (so 75 would get 8 sweets = 600):

  256 x 12 + 75 x 8 = 3672

We can change the numbers of adults and children, but it doesn't change the answer.

The reason for this lies in the fact that ¹/₂ adults x 12 sweets = ³/₄ children x 8 sweets (both are 6).

Workings

Hint
Snakes don't have legs.

Answer
6 snakes, along with 7 people and 14 lizards.

Reasoning
We know that for each person (2 legs) there were 2 lizards (4 legs each).

Which means for every person, we can count a total of 10 legs.

Snakes don't have legs, so the total of 70 legs must have been 7 people (and 14 lizards).

This is a total of 21 heads, so the remaining 6 heads were all snakes.

Double-Checking
7 people gives 7 heads and 14 feet.

14 lizards gives 14 heads and 56 feet.

6 snakes gives 6 heads and 0 feet.

For a total of 6 + 7 + 14 = 27 heads, and 0 + 14 + 56 = 70 feet.