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Since there were 5 teams in the league there were a total of 10 possible games (either way around):
Longton vs Fenton
Longton vs Blurton
Longton vs Hulton
Longton vs Fulton
Fenton vs Blurton
Fenton vs Hulton
Fenton vs Fulton
Blurton vs Hulton
Blurton vs Fulton
Hulton vs Fulton
Since each game distributed 2 points to the two teams there were a total of 20 points available to the league.
The results shown add to 17, leaving the remaining 3 to Fulton.
Puzzle 10
The surface area of a spherical balloon measured in square inches is the same as its volume, measured in cubic inches. What is the diameter of the balloon?
[Ref: ZEZW]
Hint: The volume of a sphere is (4/3) * Pi * (r^3).
Answer: 6 inches. The surface area of a sphere, of radius r, is 4 * Pi * (r ^ 2) and the volume is (4/3) * Pi * (r^3). Putting these equal and cancelling gives r = 3, which means the diameter is 6 inches. QED.
Puzzle 11
At a recent visit to the reptile house at the local zoo, I counted a total of 27 heads and 70 feet.
I was counting snakes, lizards and people and I know that there were exactly twice as many lizards as people.
Day 4: travelled 3/4 leaving 5 miles, which means that 5 miles is 1/4, so 20 miles were left at the start of Day 4.
Day 3: travelled 2/3 leaving 20 miles, which means that 20 miles is 1/3, so 60 miles were left at the start of Day 3.
Day 2: travelled 1/2 leaving 60 miles, which means that 60 miles is 1/2, so 120 miles were left at the start of Day 2.
Day 1: travelled 1/3 leaving 120 miles, which means that 120 miles is 2/3, so 180 miles were left at the start of Day 1.
Of the 180 miles overall, 175 were covered in the 4 days.
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