Directions: Use the stated calendar condition to answer the question.

Assume that September begins on a Friday. What will be the date of the first Monday in November?

The correct answer is 6.

We can solve this problem step-by-step by calculating the days of the week moving from September into November.

Step 1: Determine the day of the week for October 1
We are given that September 1 is a Friday. September has 30 days in total.
The number of days between September 1 and September 30 is:

$30-1=29\text{ days}$

Dividing 29 by 7 (the number of days in a week) to find the remaining days:

$29=(4\times 7)+1$

A remainder of 1 means that September 30 is 1 day ahead of Friday, which is a Saturday.
Since September 30 is a Saturday, October 1 must be a Sunday.

Step 2: Determine the day of the week for November 1
October has 31 days in total. The number of days between October 1 and October 31 is:

$31-1=30\text{ days}$

Dividing 30 by 7:

$30=(4\times 7)+2$

A remainder of 2 means October 31 is 2 days ahead of Sunday, which is a Tuesday.
Since October 31 is a Tuesday, November 1 must be a Wednesday.

Step 3: Find the date of the first Monday in November
Starting from November 1 as a Wednesday, we list the days until we reach Monday:
• November 1 = Wednesday
• November 2 = Thursday
• November 3 = Friday
• November 4 = Saturday
• November 5 = Sunday
• November 6 = Monday

Thus, the date of the first Monday in November is 6.