# How many watermelons left with Mr. Bean?

Mr. Bean leaves from place $A$ with 3 sacks that each contains 30 watermelons. He comes across 30 tolls till he reaches place $B$. At every toll, Mr. Bean has to give 1 watermelon as toll for each non-empty sack with watermelons.

How many watermelons are left with Mr. Bean at place $B$?

Hint:

• Down voters would like to comment? Apr 7, 2015 at 10:48
• Mr Bean is famous for being an idiot. It would be very unlike him to employ an optimal strategy, and since we're not told that he does this doesn't have a unique correct answer. Feb 6, 2016 at 17:52

25

Calculation

first 10 tolls 30 melons, next 15 tolls 30 more melons next 5 tolls 5 more
90 - 30 - 30 - 5
First 10 tolls he has 3 sacks so 10 tolls x 3, now he is left with 2 sacks
Next 15 tolls, he as 2 sacks si 15 tolls x 2, and he is left with 1 sack with 30 melons and 5 tolls to cross

• I think he could have any number between 0 and your answer, depending on his payment strategy. Apr 7, 2015 at 17:43
• @Hellion I was helping Mr Bean minimize his toll tax. Apr 7, 2015 at 18:45
• If I had to lug 90 watermelons about, I'd want to get rid of them as quickly as possible. :-) Apr 7, 2015 at 18:47
• Also note that he can eat two watermelons on the journey, and still arrive with the same number. Apr 7, 2015 at 20:21