Random Puzzles 

Workings

Hint
Think about the number of legs.

Answer
There are 7 chickens, 28 mice and 280 ants.

Reasoning
For every chicken (2 legs) we have 4 mice (16 legs) and 40 ants (240 legs) = 258 legs.

So we can divide the total number of legs by 258, giving 1,806 ÷ 258 = 7 (chickens).

Workings

Hint
A little algebra might help.

Answer
64 pounds.

The head weighs 24 pounds, the body weighs 32 pounds, and the tail weighs 8 pounds.

Reasoning
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.

Workings

Hint
2 arrows point to the right, and the others point to the left.

Answer
 

Workings

Hint
In order, the added letters spell TELESCOPE.

Answers
The added letters spell TELESCOPE.
herb + t becomes berth bang + e becomes began keen + l becomes kneel suit + e becomes suite quad + s becomes squad whey + c becomes chewy cell + o becomes cello toil + p becomes pilot wild + e becomes wield