Easy Puzzles 

Workings

Hint
Cockroaches have 6 feet, mice have 4 and birds have 2.

Answer
10 cockroaches, 5 mice, and 35 birds.

Cockroaches have 6 feet, mice have 4 and birds have 2.

For every mouse there are two cockroaches, so every mouse is worth 3 heads and 16 feet (4 + 6 + 6).

We can now write down an expression for the heads and the feet (calling birds B and mice M):

Heads gives us:
   (1) B  +  3M =  50

Feet gives us:
   (2) 2B + 16M = 150

If we double (1) we get:
   (3) 2B +  6M = 100

We can now do (2) - (3) to give:
 10M = 50
   M = 5

So we have 5 mice (and 10 cockroaches). We can use M = 5 in (1) to give:
 B + 3 x 5 = 50
    B + 15 = 50
         B = 35

So, C = 10, M = 5 and B = 35. Checking that 10 + 5 + 35 = 50, and 10 x 6 + 5 x 4 + 35 x 2 = 150.

Workings

Hint
The word begins with the letter C.

Answer
CAT.
LO...E   =  LOCATE
EDU...E  =  EDUCATE
VA...E   =  VACATE
S...TER  =  SCATTER
S...HE   =  SCATHE
...ER    =  CATER

Workings

Hint
One of the words is Antelope.

Answer
ln      =  lion
ntlp    =  antelope
gzll    =  gazelle
strch   =  ostrich
wl      =  owl
rbn     =  robin
rdvrk   =  aardvark
dr      =  deer
clt     =  ocelot or colt
bs      =  ibis

Workings

Hint
Cross out nine letters, literally.

Answer
Elephant.

Cross out the letters NINE LETTERS to leave the letters ELEPHANT.