Puzzle 569
After a day picking strawberries, I ended up with a full basket, which is always nice.
I ate 5, and then gave Alex half of the remaining.
I ate another 3, and then gave Billie one third of the remaining.
I ate another 6, and then gave Charlie two thirds of the remaining.
I now had 34 strawberries left. How many did I start with?
Puzzle Copyright © Kevin Stone
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Hint
Try working backwards.
Answer
335 strawberries.
Reasoning
Working backwards …
I ended up with 34 strawberries, so I had 102 before giving Charlie two thirds.
I ate 6 myself, so I had 108 before I ate those.
I had 108 strawberries, so I had 162 before giving Billie one third.
I ate 3 myself, so I had 165 before I ate those.
I had 165 strawberries, so I had 330 before giving Alex one half.
Ate 5 myself, so I had 335 before I ate those.
Therefore, I started with 335 strawberries.
Double-Checking
I started with 335.
I ate 5, leaving 330.
I gave Alex half (165), leaving 165.
I ate 3, leaving 162.
I gave Billie one third (54), leaving 108.
I ate 6, leaving 102.
I gave Charlie two thirds (68), leaving 34.
Puzzle 570
How many squares, of any size, are on a board divided up into 6 squares by 6 squares?
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Hint
How many 1 x 1 squares are there?
Answer
91 squares.
Reasoning
Squares of size:
1 x 1 = 36
2 x 2 = 25
3 x 3 = 16
4 x 4 = 9
5 x 5 = 4
6 x 6 = 1
Total = 36 + 25 + 16 + 9 + 4 + 1 = 91.
Puzzle 571
Below you will find 9 well-known five-letter words, with only their endings remaining.
Once you have found the words, their initial letters are an anagram of a 9-letter word.
What is the word?
--xic
--ien
--nre
--ppo
--pil
--loo
--day
--uip
--elf
Puzzle Copyright © Kevin Stone
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Hint
The anagrammed word begins with the letter S.
Answers
Spaghetti.
--xic = t oxic
--ien = a lien
--nre = g enre
--ppo = h ippo
--pil = p upil
--loo = i gloo
--day = t oday
--uip = e quip
--elf = s helf
Giving the letters TAGHPITES, which is an anagram of SPAGHETTI.
Puzzle 572
Which is larger:
ounces in gross pounds
seconds in an hour
Puzzle Copyright © Kevin Stone
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Hint
There are 16 ounces in a pound, and 144 in a gross.
Answer
Seconds in an hour.
Reasoning
There are 16 x 144 = 2,304 ounces in gross pounds.
There are 60 x 60 = 3,600 seconds in an hour.
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