SOLUTION: A grasshopper wants to climb a staircase with many steps. She makes only 2 kinds of jumps: 3 steps up or 4 steps down. Beginning at the ground level, at least how many jumps will s

Question 1041070: A grasshopper wants to climb a staircase with many steps. She makes only 2 kinds of jumps: 3 steps up or 4 steps down. Beginning at the ground level, at least how many jumps will she have to make in order to take a rest on the 22nd step?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
I think she has to make 8 jumps up.
If I call the ground level zero, that will
put her on step number
--------------------------------
Jumping down once puts her on
Jumping down again puts her on
----------------------------------------------
She makes 1 jump up, putting her on
She jumps up again, putting her on
--------------------
That is a total of
She needs a minimum of 12 jumps, I think
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