Brain Teasers
Sandwiches
Fun: (2.08)
Difficulty: (1.28)
Puzzle ID: #4065
Submitted By: GoldieLuvNeopets Corrected By: fishmed
Submitted By: GoldieLuvNeopets Corrected By: fishmed
Mrs. Doyle the Housekeeper has made a big, big pile of sandwiches for the party of friends visiting her house tonight. When she counts them, she realises that she can equally split the sandwiches between two friends and have none left over. She can also split them between three friends, four friends, five friends and six friends equally and every time there will be no sandwiches left over. In each case, the sandwiches are not cut into pieces.
What is the smallest amount of sandwiches that Mrs. Doyle could have made?
What is the smallest amount of sandwiches that Mrs. Doyle could have made?
Answer
60 sandwichesHide Answer Show Answer
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Comments
it does not state that each freind recieves a full sandwich, only that the sandwiches can be split amongst them. so If allowing half sandwiches then 30 is also possible, the 4 friends would recieve 7.5 sandwiches each.
If you are going to say what mad ade did, any number of sandwiches can be divided amoung any number of people. 1 could be split between 10.
Its quick a simple question of finding the lowest common multiple. 10 year old maths?
Its quick a simple question of finding the lowest common multiple. 10 year old maths?
yeah, i was just stating that the actual teaser wasn't clear as to what it meant by splitting a sandwich.
Umm... wouldn't 36 work?
How many fives in 36? I guess this is a teaser for some.
Just for educational purposes (and trying not to sound too picky) but....
If you are measuring something with a comparative unit such as tonnes or cm you may ask what amount, such as 'what amount of sandwiches could John eat?' Answer 5 kg. If you are counting something the correct expression is 'how many sandwiches'.
If you are measuring something with a comparative unit such as tonnes or cm you may ask what amount, such as 'what amount of sandwiches could John eat?' Answer 5 kg. If you are counting something the correct expression is 'how many sandwiches'.
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