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 rounds, ending with an
even par total for the 10 rounds. Her score for the last
round was 7 more than her score on the next-to-last
round. What scores did the golfer have on the last two
rounds?
I would do this.
Add the + and - scores for the 8 games played. I get +3. Since the 10 games were played with even par, that means that the last two games had scores that add to +3.
Let L = score of last game.
and N = score of next to last game.
We know L + N = +3 and the problem states that L = N+7.
Two unknowns. Two equations. Solve the two equations. Check my thinking.
thats just it i can get that far but i can not solve equations with 2 unknows
and if the first part he got +3 and par is 0 shouldnt the last two equal -3
L + N must = +3 to bring the mean to par (0).
Substitute N + 7 for L in the first equation and solve for N. Put that value in the second equation to find L. Put both values in the first equation to check.
I hope this helps a little more. Thanks for asking.
i still can not figure it out i get 2n+7=3 but if you subtract 7 and then divide by 2 you do not get a whole number so it cant be right
To solve this problem, we need to analyze the given information and use logical deductions to find the scores for the last two rounds.
Let's first calculate the total score for the first 8 rounds:
+5 - 2 + 3 - 1 - 3 + 6 + 2 - 7 = 3 strokes over par
Since the golfer played 10 rounds in total and the cumulative score for all 10 rounds is even par, we know that the remaining two rounds must cancel out the 3 strokes over par from the first 8 rounds.
Let's assume the score for the ninth round is x. Since the score for the last round is 7 more than the score on the next-to-last round, we can represent it as x + 7.
Now, let's set up the equation:
(x) + (x + 7) = -3
Simplifying the equation gives us:
2x + 7 = -3
2x = -10
x = -5
So, the score for the ninth round is -5, and the score for the last round is:
(-5) + 7 = +2
Therefore, the scores for the last two rounds are -5 and +2, respectively.