Puzzle 201
A rich aristocrat decided that he would give every man 45 dollars and every woman 60 dollars.
Only one ninth of the men and only one twelfth of the women collected their dues.
Can you tell me how much money the aristocrat spent if there were 3552 people in total?
Puzzle Copyright © Kevin Stone
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Hint
It doesn't actually matter how many men or women there were.
Answer
17,760 dollars.
If there were M men, then there were (3552 − M) women.
So one ninth of the men each received 45 dollars and one twelve of the women each received 60 dollars. So the total received was:
= 45 x 1 x M + 60 x 1 x (3552 − M)
— ——
9 12
Simplify the two fractions by dividing the 45 by 9, and the 60 by 12 respectively.
= 5 x M + 5 x (3552 − M)
= 5M + 17760 − 5M
= 17760
Puzzle 202
If I give you seven apples, you will then have five times as many as I would then have.
However, if you give me seven apples, we will then both have the same number of apples.
How many apples do I currently have?
Puzzle Copyright © Kevin Stone
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Hint
A little bit of algebra might help.
Answer
I have 14 apples and you have 28 apples.
Reasoning
We can work this out with a little algebra. I have A apples and you have B apples, then
[1] 5 x (A − 7) = B + 7
[2] A + 7 = B − 7
From [1] we have:
5A − 35 = B + 7
[3] 5A = B + 42
From [2] we have:
[4] A + 14 = B
We can then use [4] in [3] to give:
5A = (A + 14) + 42
5A = A + 56
4A = 56
A = 14
Which gives B = 28 (by [4]).
Puzzle 203
The infamous BrainBashers encyclopedia has been suffering from its usual problems again.
Below is a printout of reptiles and amphibians, but they have lost every other letter.
Can you replace the missing letters?
-r-g
-o-t-i-e
-n-k-
-e-t
-i-a-d
-r-c-d-l-
-a-a-a-d-r
-u-t-e
-k-n-
a-l-g-t-r
Puzzle Copyright © Kevin Stone
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Hint
One of the words end in K. Remember that a skunk isn't a reptile, or an amphibian.
Answers
-r-g = frog
-o-t-i-e = tortoise
-n-k- = snake
-e-t = newt
-i-a-d = lizard
-r-c-d-l- = crocodile
-a-a-a-d-r = salamander
-u-t-e = turtle
-k-n- = skink
a-l-g-t-r = alligator
Puzzle 204
What is the next number in this sequence:
100 · 365 · 24 · 60 · ?
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Hint
The answers are related to time.
Answer
60.
The numbers represent 100 years in a century, 365 days in a year, 24 hours in a day, 60 minutes in an hour and 60 seconds in an minute.
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