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The following is Julie, Tom, and Mona's schedule:

\begin{tabular}{|c|c|c|c|c|c|c|}
\hline Sun & Mon & Tue & Wed & Thu & Fri & Sat \\
\hline Julie & Mona & Tom & Mona & Tom & Mona & Julie \\
\hline Tom & & Mona & & Mona & & Tom \\
\hline
\end{tabular}

Assume that next week, Sarah is scheduled for 4 days and starts on a Sunday. Sarah works only on alternate days. Kylie works only with Sarah or Mona.

Who can be scheduled the most days during next week (starting Sunday)?



Answer :

GinnyAnswer
To determine who can be scheduled the most days during next week, let's go through each person's schedule.

Sarah's Schedule:
Sarah works every other day, starting on Sunday. Therefore, her schedule for the week will be:

- Sunday
- Tuesday
- Thursday
- Saturday

That is, Sarah works on days 0, 2, 4, and 6. So, Sarah works a total of 4 days.

Julie, Tom, and Mona's Schedule:

From the given schedule:
- Julie works on Sunday and Saturday.
- Tom works on Sunday and Saturday.
- Mona works on Monday, Wednesday, and Friday.

Kylie's Schedule:

Kylie works only when either Sarah or Mona is working. Based on Sarah's and Mona's schedules:

- Sunday: Sarah works, so Kylie works.
- Monday: Mona works, so Kylie works.
- Tuesday: Sarah works, so Kylie works.
- Wednesday: Mona works, so Kylie works.
- Thursday: Sarah works, so Kylie works.
- Friday: Mona works, so Kylie works.
- Saturday: Sarah works, so Kylie works.

So, Kylie works all 7 days.

Total Days Worked:

- Julie: 2 days (Sunday and Saturday)
- Tom: 2 days (Sunday and Saturday)
- Mona: 2 days (Monday, Wednesday, Friday)
- Kylie: 7 days (Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, Saturday)
- Sarah: 4 days (Sunday, Tuesday, Thursday, Saturday)

Among the people, Kylie can be scheduled the most days during next week, with a total of 7 days.

So, the person who can be scheduled the most days is Kylie, and she works 7 days.