Brain Teasers
Homeroom
There are three teachers: Mrs. Shatto, Mrs. Watts, and Mrs. Peterson. There are four subjects: Math, Science, Social Studies, and English. All teachers teach their homeroom students what they teach all other kids. They also each teach one other thing. The students switch classes in the morning.
Mrs. Peterson teaches Science and English.
Mrs. Shatto teaches Math and Social Studies.
Mrs. Watts teaches Science and Social Studies.
Mrs. Shatto's kids do not get Social Studies taught to them in the morning.
Mrs. Peterson's kids get taught Social Studies and English in the morning.
When does each teacher teach each subject and to who?
Mrs. Peterson teaches Science and English.
Mrs. Shatto teaches Math and Social Studies.
Mrs. Watts teaches Science and Social Studies.
Mrs. Shatto's kids do not get Social Studies taught to them in the morning.
Mrs. Peterson's kids get taught Social Studies and English in the morning.
When does each teacher teach each subject and to who?
Answer
Mrs Peterson: Morning-English (everyone); Afternoon-Science (Peterson)Mrs Shatto: Morning-Math (Everyone); Afternoon-Social Studies (Peterson)
Mrs Watts: Morning-Social Studies (Peterson) & Science (Shatto) Afternoon-Science (Watts)
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Comments
This problem is not fully defined. You didn't
say how many morning or afternoon periods there
were, nor if every class took each subject.
Your proposed solution also appears to have
Mrs. Peterson's kids taking two classes at the
same time after lunch, while Mrs. Shatto's kids get the
afternoon off.
I solved this on the assumption that each
class took two classes in the morning, with one
switch mid-morning. That solution
had Peterson teaching English to her class and Mrs. Watt's
class, Shatto teaching Math to her class and Mrs. Peterson's
class, and Watts teaching Social Studies to her class and
Mrs. Shatto's class. But you really need to define the
problem better to let us know what we are solving.
say how many morning or afternoon periods there
were, nor if every class took each subject.
Your proposed solution also appears to have
Mrs. Peterson's kids taking two classes at the
same time after lunch, while Mrs. Shatto's kids get the
afternoon off.
I solved this on the assumption that each
class took two classes in the morning, with one
switch mid-morning. That solution
had Peterson teaching English to her class and Mrs. Watt's
class, Shatto teaching Math to her class and Mrs. Peterson's
class, and Watts teaching Social Studies to her class and
Mrs. Shatto's class. But you really need to define the
problem better to let us know what we are solving.
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