August Mondays Calculation

This question asks us to determine the total count of Mondays in August, given that August 25^th is a Thursday. We will use basic calendar logic and step-by-step calculations.

August Month Details

First, it's important to know that the month of August has 31 days.

August 25 Thursday Condition

The key piece of information provided is that August 25^th falls on a Thursday.

Step-by-Step Calculation

We need to find all the dates that are Mondays within the month of August.

Step 1: Find the first Monday on or after August 25^th.

Starting from Thursday, August 25^th, we count forward through the days of the week:

August 26^th is Friday.

August 27^th is Saturday.

August 28^th is Sunday.

August 29^th is Monday.

Therefore, August 29^th is a Monday.

Step 2: Find previous Mondays in August.

Days of the week repeat in a cycle of 7 days. To find previous Mondays, we subtract 7 days from the date August 29^th. We must ensure that the resulting dates are still within the month of August (which has days numbered 1 through 31).

The Mondays we find are:

August 29^th is a Monday.

Subtracting 7 days gives August 22^nd, which is also a Monday (using the calculation $29 - 7 = 22$).

Subtracting another 7 days gives August 15^th, which is also a Monday (using $22 - 7 = 15$).

Subtracting another 7 days gives August 8^th, which is also a Monday (using $15 - 7 = 8$).

Subtracting another 7 days gives August 1^st, which is also a Monday (using $8 - 7 = 1$).

Step 3: Verify all calculated dates.

All the dates we found for Mondays (1^st, 8^th, 15^th, 22^nd, and 29^th) are valid dates within the month of August (which runs from the 1st to the 31st).

Final Monday Count

Listing the identified Monday dates:

The Mondays in August are: 1^st, 8^th, 15^th, 22^nd, and 29^th.

Counting these specific dates, we find there are exactly 5 Mondays in August for this particular year.