From Kate: The question is:
A small toad is sitting at the bottom of the stairs. He wants to get to the 10th step, but is having some difficulty. He jumps up 2 steps and then back 1 each time. How many jumps will he take to reach the 10th step? Answered by Stephen La Rocque and Penny Nom.
From Nick: There are 5 lily pads and 4 frogs, 2 Red and 2 Green, how many moves does it take for them to swap sides? Answer: 8
I have a formula which will tell you how many moves it will take with different total numbers of frogs, it is [(F*F)/4]+F Where F is the number of red frogs add the number of Green frogs. This formula only works with numbers of frogs that are the same on each side. What I would like to know is why this formula works and why you have to divide it by 4?
Answered by Penny Nom.
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