Puzzle 614
At the local play group for babies and toddlers, I was asking about the number of teddies each of child had.
The four children are aged 1, 2, 3 and 4.
Remarkably, the children have one, two, three and four teddies, although not necessarily respectively.
Dale has more teddies that their age. Jesse is older than Morgan. Curiously only one child has the same number of teddies as their age. Pat has fewer teddies than Jesse and the child aged 3 has two teddies. Pat is the youngest.
Can you determine who has which teddies?
Puzzle Copyright © Kevin Stone
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Hint
Jesse is the oldest.
Answer
Morgan is 3 and has two teddies.
Pat is 1 and has one teddies.
Jesse is 4 and has three teddies.
Dale is 2 and has four teddies.
Puzzle 615
Using the letters AAEEHHLLLLMMNNOOSSTT complete this grid. The grid reads the same across as down.
Note: this puzzle is not interactive, and the squares cannot be clicked.
Puzzle Copyright © Kevin Stone
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Hint
The bottom word begins with M.
Answer
C
H
A
S
M
H
E
L
L
O
A
L
I
E
N
S
L
E
P
T
M
O
N
T
H
Puzzle 616
Last week, I travelled from Birmingham to Glasgow, the long way round (on a bicycle!).
On day one, I travelled one quarter of the distance.
On day two, I travelled one half of the remaining distance.
On day three, I travelled three quarters of the remaining distance.
Yesterday I travelled one third of the remaining distance.
I now have 21 miles left to travel.
How far is it from Birmingham to Glasgow in total?
Puzzle Copyright © Kevin Stone
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Hint
How many miles were left at the start of yesterday?
Answer
336 miles.
Reasoning
To work these numbers out, it is perhaps easier to start at the end and work backwards.
Yesterday I travelled 1 /3 of the distance to leave 21 miles, therefore there were 31.5 miles (=21 ÷ 2 /3 ) at the start of yesterday.
On day 3 I travelled 3 /4 of the distance to leave 31.5 miles, therefore there were 126 miles (=31.5 ÷ 1 /4 ) at the start of day 3.
On day 2 I travelled 1 /2 of the distance to leave 126 miles, therefore there were 252 miles (=126 ÷ 1 /2 ) at the start of day 2.
On day 1, I travelled 1 /4 of the distance to leave 252 miles, therefore there were 336 miles (=252 ÷ 3 /4 ) at the start of day 1.
Double-Checking
On day one, I travelled one quarter of the distance (84, leaving 252).
On day two, I travelled one half of the remaining distance (126, leaving 126).
On day three, I travelled three quarters of the remaining distance (94.5, leaving 31.5).
Yesterday I travelled one third of the remaining distance (10.5).
I now have 21 miles left to travel.
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