The weather during Smedley's vacation was strange
-- It was cloudy on 13 different days but it was never cloudy for an entire day
-- Cloudy mornings were followed by clear afternoons
-- Cloudy afternoons were proceded by clear mornings
---There were 11 clear mornings and 12 clear afternoons in all
How long was the vacation?
Math assistance needed.
To determine the length of Smedley's vacation, we need to analyze the information given. Let's break down the clues:
1. It was cloudy on 13 different days but never cloudy for an entire day.
This means that there were days when it was partly cloudy with a mix of both cloudy and clear periods.
2. Cloudy mornings were followed by clear afternoons, and cloudy afternoons were preceded by clear mornings.
This implies that there were days when the weather changed from cloudy in the morning to clear in the afternoon, and vice versa.
3. There were 11 clear mornings and 12 clear afternoons in total.
This tells us the specific counts of clear mornings and clear afternoons during the vacation.
From these clues, we can infer that each day during Smedley's vacation consisted of either a clear morning followed by a cloudy afternoon or a cloudy morning followed by a clear afternoon. This pattern allows us to determine the number of days in the vacation.
Let's consider the possibilities:
Option 1: Each day had a clear morning followed by a cloudy afternoon.
In this case, since there were 11 clear mornings and 12 clear afternoons, we can determine that there were 11 days in the vacation.
Option 2: Each day had a cloudy morning followed by a clear afternoon.
If this were the case, there would have been 12 cloudy mornings and 11 cloudy afternoons, which is not possible based on the given information.
Therefore, we conclude that Smedley's vacation lasted for 11 days.