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ITMC 2018 Grade 9 National Preliminary set01 Question 14

ITMC · ITMC 2018 Grade 9 National Preliminary set01

Question 14

At the 2018 FIFA World Cup,32 teams were divided into 8 groups A–H of 4 teams. In the first round, each pair of teams in a group plays one match. A winner earns 3 points and the loser 0; in a draw each team earns 1. The two teams with the highest points in each group advance to round 2.

The group totals are A:18, B:15, C:16, D: $x$, E:16, F:18, G: $y$, H:17. If 9 matches in all groups are draws, find $x+y$.

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  5. 32