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Australian AMC 2008 - Intermediate Question 11

AMC AUSTRALIA · Australian AMC 2008 - Intermediate

Question 11

Anne designs the dart board shown, where she scores $P$ points in the centre circle, $Q$ points in the next ring and $R$ points in the outer ring. She throws three darts in each turn. In her first turn, she gets two darts in ring $Q$ and one in ring $R$ and scores 10 points. In her second turn, she gets two in circle $P$ and one in ring $R$ and scores 22 points.

In her next turn, she gets one dart in each of the regions. How many points does she score?

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