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Puzzle 453
I recently asked my friend Alex to buy me some ribbon for my child's bonnet.
Alex went to the haberdashery shop for the required length, but accidentally swapped the feet and inches.
When I measured the resulting ribbon, I only had 5⁄8 of the length I required.
Answer
I asked for 7 feet, 4 inches, but Alex brought me 4 feet, 7 inches.
Reasoning
If we label what I asked for as A feet and B inches, which is (12 x A + B) inches, then I actually received B feet and A inches, which is (12 x B + A) inches. Which means that:
5⁄8 x (12 x A + B) = (12 x B + A)
Simplifying gives:
A = 91⁄52 x B
As B is the number of inches, it can only be between 1 and 12 and must give A as a whole number of feet.
B = 4 is the only possible value, which means that A = 7.
So I originally asked for 7 feet, 4 inches.
Double-Checking
I received 4 feet, 7 inches = 55 inches.
I asked for 7 feet, 4 inches = 88 inches, and 88 x 5⁄8 = 55.
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Puzzle 454
Focus on this conundrum, do it quickly, or do it slowly. What is so wrong with it? Or so right? It is a most odd conundrum. A quick brown fox jumps, hops, and vaults past a lazy dog! Can you work out what it is? Don't skip any words, and you'll soon spot it. It isn't too hard!