Random Puzzles 

Workings

Hint
A dollar is 100 cents, a quarter is 25 cents and a dime is 10 cents.

Answer
⁷/₂₇ of each coin was missing.

Reasoning
The original value of the three coins was 100 + 25 + 10 = 135 cents, and the new value was 100 cents.

Therefore, ³⁵/₁₃₅ = ⁷/₂₇ of the original value has been removed.

Workings

Hint
There are 13 loaves in a baker's dozen.

Answer
Loaves in a dozen baker's dozen.

Reasoning
A baker's dozen is 13, so a dozen baker's dozen is:

   12 x 13 = 156 loaves

There are 15 red balls in snooker, and each of these can be followed by the black ball, and then the colours in order gives:

   15 x (1 + 7) + 2 + 3 + 4 + 5 + 6 + 7 = 147 points

This can rise to 155 if the break follows a foul.

Workings

Hint
Remember that each of them told the truth in one of their statements, but lied in the other.

Answer
Billie robbed the bank.

Reasoning
We know that each of them told the truth in one of the statements and lied in the other.

So according to Ashley, as one of the statements is false, it must have been either Drew or Billie.

If it was Drew, then Billie's statements would both be true, which isn't allowed.

Therefore, it was Billie, which agrees with Casey and Drew's statements.

Workings

Hint
A little bit of 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.