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Last month's solutions

Solution: By joining the points A and P with line AP, triangles ABP and ACP are isosceles because lines AP = PB = PC and angles PAB = PAC and ABP = ACP. Therefore, angles APB and APC = 180º – 20º – 20º = 140º and xº = 360º – 140º – 140º = 80º. 
Solution: Let x = total number of novels and y = total number of magazines. x + y = 11, y = 11 – x 4x + 1y = 20, 4x + (11 – x) = 20 3x + 11 = 20 or 33x = 9 and therefore x = 3 novels 
Solution: Let x = total score for 8 players and y = total score for 7 players. x = 14.5 points * 8 players = 116 points and y = 12 points * 7 players = 84 points The highest score that was removed = x – y = 116 – 84 = 32 To check: 84 (7 players) + 32 (1 player) = 116 and 116 / 8 = 14.5 pints (mean score for 8 players). 