Puzzle 141
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.
Puzzle 142
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 143
At a recent school fayre, 500 people attended and £500 was raised. The prices were as follows:
Fathers £2.00
Mothers £3.00
Children £0.48
More mothers than fathers turned up. How many children were there?
Puzzle Copyright © Kevin Stone
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Answer
375 children: 70 mothers and 55 fathers.
