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UKMT Grey Kangaroo, 2023

Algebra Difficulty 2.0 Junior Find the answer United Kingdom

A rugby team scored 24 points, 17 points and 25 points in the seventh, eighth and ninth games of their season. Their mean points-per-game was higher after 9 games than it was after their first 6 games. What is the smallest number of points that they could score in their 10th game for their mean number of points-per-game to exceed 22?

(A) $22$ (B) $23$ (C) $24$ (D) $25$ (E) $26$

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