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Puzzle 389
At the toy factory, 2 toy makers can make 6 boxes of toys in 3 hours.
By this same reasoning, how many toy makers will it take to make 22 boxes of toys in 5 hours?
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.
Answer
Here are the contents of the containers after each stage:
A = 9 litres, B = 4 litres
A B
9 0 fill A
5 4 fill B from A (leaving 5 litres in A)
5 0 empty B
1 4 fill B from A (leaving 1 litre in A)
1 0 empty B
0 1 fill B from A
9 1 fill A
6 4 fill B from A (only 3 more litres fit in B)
6 0 empty B
This leaves 6 litres in container A.
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