2002 AMC 8 Problem 17
Attempt Problem 17 of the 2002 AMC 8 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2002 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
17.
In a mathematics contest with ten problems, a student gains points for a correct answer and loses points for an incorrect answer. If Olivia answered every problem and her score was how many correct answers did she have?
Answer: C
Small hint:
Let be the number of correct answers.
Big hint:
Then the number of incorrect answers is
Solution:
Let be the number of correct answers. Then she answered questions incorrectly.
This gives her a total score of
We know that this equals and solving yields
Thus, C is the correct answer.
Problem 17 in other years
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