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?
Lets try...
Assume some of the 11 were clear all day, and some of the 12 were clear all day.
If x of the 11 were cloudy, and y of the 12 were cloudy, then x+y=13
So, if x is 1, then y is 12, so the vacation was 13+10+0=23
if x is 2, then y is 11, so the vacation was 13+9+1=23
if x is 6, then y is 7, so the vacation was 13+ (11-6)+(12-7)= you guessed it.
check my thinking.
18
18
To determine the length of Smedley's vacation, we need to analyze the given information.
First, we know that it was cloudy on 13 different days, but it was never cloudy for an entire day. This indicates that there were partial cloudy periods during the vacation.
Secondly, we know that cloudy mornings were followed by clear afternoons and that cloudy afternoons were preceded by clear mornings. This implies that there was a pattern of alternating cloudiness throughout the day.
Lastly, we are given the information that there were 11 clear mornings and 12 clear afternoons in total.
Based on these clues, we can deduce that there were a total of 13 days during the vacation, with each day having both a morning and an afternoon. This is calculated by adding the number of clear mornings (11) and clear afternoons (12).
Therefore, Smedley's vacation lasted for 13 days.