For an average of 10 points to exceed 18 points, there must be at least 181 points. Thus 181 points is our target...
Mary scored a total of 68 points in games 6 through
9, which is a 17 point average.
In order to score least in game 10, Mary must score
as much as possible in the first 5 games, but without
violating the stated requirement that her average
after 9 games was higher than after 5 games.
This means she must average just a little less than
the 17 point average that she had in the last 4 games
(games 6 through 9).
So, assign 17 points for all but 1 of the first 5
games, and then 16 for the other game. So, she
totaled 84 points in the first 5 games. The total
for the first 9 games is then 68 + 84 = 152.
To get the least number of points in game #10, she
needs
181 (target) - 152 (number so far) =
29 points.
| 1. Jon Pence | Winchester, VA |
| 2. Chip Crawford | Winchester, VA |