During Spirit Week, the band decided to have a bake sale every day of the seven day week. Three booth workers were appointed: a sophomore, a junior, and a senior. A very bright freshman made up a riddle about the work schedule. Here are the clues she made about who worked when:
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On only one day of the week were all three students to help.
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No student helped three days in a row.
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No two students were off on the same day more than one time.
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The sophomore was off on Sunday, Tuesday, and Thursday.
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The junior was off on Thursday and Saturday.
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The senior was off on Saturday.
On which day of the week were all three students working?
Solution
A schedule that works is displayed in the figure. All three students worked on Friday.
