Random Puzzles 

Workings

Hint
Do the words make sense when read another way?

Answer
Nwod.

Opposites reversed: big, small: open, closed: up, down.

Workings

Hint
Think of the whole alphabet, and not just the vowels (AEIOU).

Answer
8,300.

Each letter of the country is worth 100 miles based on its position in the alphabet.

Therefore, Germany = 7 + 5 + 18 + 13 + 1 + 14 + 25 = 83 x 100 miles.

Workings

Hint
Remember that the question uses Fahrenheit °F.

Answer
The ball would reach the bottom of the 45 °F bucket first because the water is frozen in the 25 °F bucket!

Workings

Hint
This is quite a tricky puzzle, and knowledge of algebra would certainly help.

Answer
The children tickets were £14, and the adult tickets were £18.

Reasoning
There are a number of methods for solving this problem, including:

Using a spreadsheet. Using a computer program. Using the intersection of lines on a graph. Using an online equation solver. Solving simultaneous equations using algebra. Solving simultaneous equations using inverse matrices.
Here is my solution using simultaneous equations and algebra.

First construct two algebraic equations, where 'c' is the number of children, and 'a' is the number of adults:

[1]   4296c + 2143a = 98718
[2]   5146c + 2807a = 122570

To make the number in front of 'c' the same on both, we multiply [1] by 5146 and [2] by 4296 to give:

[3]   22107216c + 11027878a = 508002828
[4]   22107216c + 12058872a = 526560720

Now we can do [4] – [3] to give:

   1030994a = 18557892

Divide throughout by 1030994 so that:

   a = 18

Substituting a = 18 in [1] will give:

   4296c + 2143 x 18 = 98718
   4296c + 38574     = 98718
   4296c             = 60144
       c             = 14

Double-Checking
c = 14 and a = 18

4,296 x 14 + 2,143 x 18 = 98,718

and

5,146 x 14 + 2,807 x 18 = 122,570