Without using any reference material can you find the hidden countries? In each case, the letter indicates the first letter of the country in question, the number represents the number of letters in the country. For example, E7 would be England.
Z6, L10, I9, E7, B6, J7, P8, M10, P4, F4
Reasoning
If we denote Alex by A, Billie by B, Charlie by C, and Drew by D and number the clues.
If Alex had three more sheep, then he'd have one fewer sheep than Billie.Whereas Drew has the same number as the other three shepherds put together.If Charlie had three fewer sheep, he'd have exactly three times the number of Alex.If they were evenly distributed, they'd each have eleven sheep.
By (4): A + B + C + D = 44
And, by (2), these are shared equally between A + B + C and D.
So D = 22, and A + B + C = 22 (*)
By (1): A + 3 = B − 1 A + 4 = B
By (3): C − 3 = 3A C = 3A + 3
Substitute B and C in (*):
A + (A + 4) + (3A + 3) = 22 5A + 7 = 22 5A = 15 A = 3
Hint
Start by filling the 9 gallon container, and then use that to fill the 4 gallon container.
Answer
Here are the contents of the containers after each stage:
A B
9 0 fill A
5 4 fill B from A
5 0 empty B
1 4 fill B from A
1 0 empty B
0 1 fill B from A
9 1 fill A
6 4 fill B from A
6 0 empty B
This leaves 6 gallons in container A.
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Puzzle 20
Hidden in the grid below are eight, 7-letter words. Each word begins with the central P and you can move one letter in any direction to the next letter. All of the letters are used exactly once each. What are the words?
D
I
S
I
S
A
K
M
R
C
N
C
Y
E
A
C
Y
A
H
N
A
H
Y
S
P
I
B
L
I
E
R
O
L
L
S
C
M
P
U
R
A
T
M
U
I
L
A
E
R
Note: this puzzle is not interactive, and the letters cannot be clicked.
