Problem 349
Scoring in Golf. A golfer played 8 rounds on a tournament course with the following scores (par is the expected score for a round: negative numbers represent the number of strokes under par for the round, and positive numbers represent the number of strokes over par for the round): +5 , -2, +3 , -1, -3, +6, +2, -7. The golfer played 2 more round, ending with an even par total for the 10 rounds. Her score for the last round was 7 more then her score on the next-to-last round. What scores did the golfer have on the last two rounds?
Solution
Suppose next to last round’s score is x and score of last round is y
For the first 8 rounds the golfer was 5 – 2 + 3 – 1– 3 + 6 + 2 – 7 = 3 strokes over par
Now according to the question y=x+7
After 10 rounds x+y+3=0
X+x+7+3=0
2x=-10
x=-
x=-5
and y =-5+7=2
So on the next-to-last round the score was 5 under par and on the last round the score was 2 over par.