Join IDNLearn.com and start getting the answers you've been searching for. Ask your questions and receive reliable and comprehensive answers from our dedicated community of professionals.

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)?


Sagot :

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.