Hint
How many boxes of toys can 1 toy maker make in 5 hours?
Answer
Five toy makers.
Reasoning
How many boxes of toys can 1 toy maker make in 5 hours?
2 toy makers can make 6 boxes of toys in 3 hours
1 toy maker can make 3 boxes of toys in 3 hours
1 toy maker can make 1 box of toys in 1 hour
1 toy maker can make 5 boxes of toys in 5 hours
So 4 toy makers could only make 20 boxes of toy in 5 hours, and we require the extra toy maker to make the remaining 2 boxes of toys.
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Puzzle 3
Start with a number larger than 0, square it, add 4, double, take away 3, times 4 and finally subtract the original number.
If you were now left with 20, what number did you start with?
Reasoning
If we convert the question to algebra, we have:
((n^2 + 4) x 2 – 3) x 4 – n = 20
Expanding the brackets and simplifying gives:
(2n^2 + 8 – 3) x 4 – n = 20
(2n^2 + 5) x 4 – n = 20
8n^2 + 20 – n = 20
8n^2 – n = 0 (*)
8n – 1 = 0
8n = 1
n = 1/8
In the equation marked (*) zero is also a potential solution, but as the question tells us that we "Start with a number larger than 0" we know that n can't be 0, and therefore we can safely divide by n.
Reasoning
I travelled at 50mph for 4 hours, which is 200 miles.
I used 25 gallons every 25 miles, so I used 8 gallons travelling those 200 miles.
I started with 12 gallons and used 8 gallons, so I lost the other 4 gallons.
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