SOLUTION: Freddie the frog is climbing up a well. Everyday he climbs up 3 m but some nights he falls asleep and slips back 4m. At the start of the sixteenth day, he has climbed a total of 29

Question 766648: Freddie the frog is climbing up a well. Everyday he climbs up 3 m but some nights he falls asleep and slips back 4m. At the start of the sixteenth day, he has climbed a total of 29m. On how many nights was he asleep?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
One time period is a day and a night
The frog either advance by +3m or
falls back m
----------------------
Let = number of periods of +3m gain
Let = number of periods of -1m loss
----------------------
(1) ( the 16th day hasn't happened yet )
(2)
------------------
Add the equations

and
(1)
(1)
------------
The frog slept 4 nights
check:
(2)
(2)
(2)
(2)
OK

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