Question 18
The elder sister and the younger sister played “rock-paper-scissors” three times. Each win moves them up 2 stairs; each loss moves them down 1 stair. They both started on the 5th stair. Finally, the elder sister won 2 times and the younger sister won 1 time.
(a) How many steps apart were they at the end of the game?
(b) On which step were the two sisters respectively? Show your reasoning.
Printed scoring note: each Part III question is worth 10 points; a simplified solution is required and is worth 4 of those points.
(a) How many steps apart were they at the end of the game?
(b) On which step were the two sisters respectively? Show your reasoning.
Printed scoring note: each Part III question is worth 10 points; a simplified solution is required and is worth 4 of those points.