Answer
Six lots of 4p, 7p, and 19p, and ten lots of 5p, and 12p.
Reasoning
For three denominations of stamps, I was asked to buy 6 of each, and for the other two denominations, I had to buy 10 of each.
So I had to buy at least 6 of all five denominations.
This would be for a total of 6 x (4 + 5 + 7 + 12 + 19) = 282p = £2.82.
The remaining 68p has to buy the remaining 8 stamps, 4 of each of the two remaining denominations.
If we just bought 1 of each of the two remaining denominations they would have cost 68 ÷ 4 = 17p.
So the two remaining denominations must have been 5p and 12p.
Double-Checking 6 x 4 = 24 10 x 5 = 50 6 x 7 = 42 10 x 12 = 120 6 x 19 = 114
For a total of 24 + 50 + 42 + 120 + 114 = 350p = £3.50.
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Puzzle 2
Frankie the Squirrel can find one acorn in 15 minutes and Glenn the Squirrel can find one acorn in 12 minutes. As autumn approaches, they both work all day and all night.
However, Alex the Squirrel is eating their collection! It takes Alex 20 minutes to eat an acorn, and Alex eats all day and all night long (and starts on yesterday's acorns).
How many extra acorns will there be at the end of a 24-hour day?
Reasoning
Frankie finds 4 acorns every hour, Glenn finds 5 acorns every hour and Alex eats 3 acorns every hour, so the nett total per hour is 4 + 5 − 3 = 6.
Which is 6 x 24 = 144 extra acorns in a day.
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Puzzle 3
Which is larger:
centimetres in a milemiles travelled by light in a second
Hint
Light travels over 186,000 miles each second.
Answer
Miles travelled by light in a second.
Reasoning
Light travels over 186,000 miles per second.
There are 2.54cm in an inch, 12 inches in a foot, 3 feet in a yard, and 1760 yards in a mile. So there are 2.54 x 12 x 3 x 1760 = 160,934.4cm in a mile.
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Puzzle 4
If a bottle weighs eight ounces plus half a bottle …
