In leading their basketball team to victory, Kylie and Shaniqua were the top 2 scorers in the championship game. Using the following clues, determine how many points each girl scored:
Remember that in basketball you can only score whole number of points.
SHOW YOUR WORK!
+130081 Let x = Shaniqua's points
Let y = Kylie's points
If you subtract 2 times Kylie's points from 3 times Shaniqua's points, the difference is less than 6
This translates as
3x - 2y < 6
Shaniqua scored at least as many points as nine more than 1/4 of Kylie's points
This translates as
x ≥ y/4 + 9
Kylie scored fewer then 20 points
This translates as
y < 20
Note that Kylie's number of points must be divisible by 4
And since she scoes < 20, she must have scored either 16, 12, 8 or 4 points
But....you can test for yourself.....there are no integer solutions
As close as we can be is if she scores 16
Then as few as Shaniqua could score is 16/4 + 9 = 13
But....these values make the first inequality 3(13) - 2(16) = 7
But...the constraint is that this is < 6
So.....no integer solutions exist
