Preparing breakfast for Will and her five other boarders before they set out for work each morning keeps Mrs. Finnegan very busy. Her task is made somewhat easier, however, by the fact that each young man has the same breakfast every morning---either eggs or pancakes, accompanied by either bacon, ham, or sausage. Each one also has either coffee, tea, or milk. No two have exactly the same breakfast. It should be added that Mrs. Finnegan has a firm rule: She will not prepare any dish for only one person. From the following clues can you determine what each boarder has for breakfast?
1. Al, who does not like sausage, usually sits next to the boarder who breakfasts on bacon and pancakes.
2. Bob and Chuck both have ham.
3. Peter does not care for bacon.
4. Ned does not like pancakes.
5. Bob has coffee.
6. The sausage eaters have tea; two of the pancake eaters have coffee; the other two boarders drink milk.
7. More than two of the boarders have eggs.
(In reply to
my solution by cat)
are we supposed to show our workings out? sorry, I'm new and dont know the rules.
I started by checking off on a grid the given data statements (pos and neg) as in 1,2,3,4,5. It can then be established that the only one left for Al to sit next to who could have bacon and pancakes is Will. He could therefore be eliminated as a ham, sausage or egg eater. Nor can he drink tea, as it's the sausage eaters that do. (6)
Chuck and Bob eating ham, can't drink tea.
From (6) and (1), Al not being a sausage eater cant be a tea drinker...this leaves only Peter and Ned to do so as each beverage must appear twice.
Therefore Peter and Ned must also eat sausage. (Peter cant eat bacon or the ham that is chuck and Bob's). But they must not both eat pancakes as well or would have identical breakfast. We know from (4) that Ned doesnt eat pancakes, therefore Peter must, while Ned eats egg. So far we know that Peter eats pancakes, sausage and tea and Ned eats egg, sausage and drinks tea. Sausage and tea are out for anyone else.
As both Bob and Chuck have reserved the ham, Al and Will (already a proven bacon eater) must eat the bacon.
We know that there can only be at most 3 pancake eaters to satisfy (7). Peter we know is a pancake eater who drinks tea, therefore Bob who drinks coffee must also be a pancake eater for there to be 2 coffee drinking pancake eaters (6).`And Will, who we established as a pancake eater must be the other coffee drinker. That leaves Al, Chuck and Ned to be egg eaters. (Ned we knew already was one). With Bob and Will drinking coffee and the tea already taken by Peter and Ned, that leaves Al and Chuck to drink milk.
We have thus established all of my previous post.
re: my solution
