Easy Puzzles 

Workings

Hint
Cockroaches have 6 feet, mice have 4, and birds have 2. They each have one head.

Answer
35 birds, 5 mice, and 10 cockroaches.

Reasoning
Cockroaches have 6 feet, mice have 4, and birds have 2. They each have one head.

We can write down expressions for the heads and the feet – calling birds B, mice M, and cockroaches C.

Counting the heads:
(1)    B +  M +  C =  50

Counting the feet:
(2)   2B + 4M + 6C = 150

We are told that for every mouse there are two cockroaches so, C = 2M. Update (1) and (2) to give:
(3)    B +  3M =  50
(4)   2B + 16M = 150

If we double (3) we get:
(5)   2B +  6M = 100

We can now do (4) – (5) to give:
 10M = 50
   M = 5

So, we have 5 mice (and 10 cockroaches).

We can use M = 5 in (3) to give:
 B + 3 x 5 = 50
    B + 15 = 50
         B = 35

So, C = 10, M = 5 and B = 35.

Double-Checking
10 cockroaches have 10 heads and 60 feet.
5 mice have 5 heads and 20 feet.
35 birds have 35 heads and 70 feet.

The total number of heads = 10 + 5 + 35 = 50.

The total number of feet = 60 + 20 + 70 = 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
Simply cross out nine letters!

Answer
Elephant.

Cross out the letters 'nine letters' to leave the letters 'elephant'.