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Puzzle
- US Version
Three houses face a single common field. The heads of these three houses, A, B, and C, decide to work together to seed the field. Unfortunately C injures himself right before work starts, so A and B do all the work together. To seed the entire field, A works five days and B works four.
Feeling guilty, C decides to pay A and B for doing his part of the job. To thank them, C pays them a total of nine coins, divided up according to how much work each person did. Can you figure out how many coins A and B received?
- UK Version
Three houses face a single common field. The heads of these three houses, A, B and C, decide to work together to seed the field. Unfortunately, C injures himself just before work starts, so A and B do all the work together. To seed the entire field, A works five days and B works four.
Feeling guilty, C decides to pay A and B for doing his part of the job. To thank them, C pays them a total of nine coins, divided up according to how much work each person did. Can you work out how many coins A and B each received?
Hints
Click a Tab to reveal the Hint.
Solution
Incorrect
Too bad!
When you think about it, the pay you suggested isn't quite fair.
Correct
Smart!
- US Version
A received six coins and B got three. You might have been tempted to answer five and four coins respectively, but as shown above, that isn't quite correct, because A and B both had to work three days to finish their own shares of the work. Seeing how C wanted to pay A and B for the work they did for him, he had to base his payment on the two days of work A did and the only day of work B did. Therefore, A should receive twice the pay B did.
- UK Version
A received six coins and B got three. You might have been tempted to answer five and four coins respectively but, as shown above, that isn't quite correct. A and B both had to work three days to finish their own shares of the work. Since C wanted to pay A and B for the work they did for him, he had to base his payment on the two days of extra work A did and the one day of work B did. Therefore, A should receive twice the pay B did.
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