Problem:
On the AMC 12, each correct answer is worth 6 points, each incorrect answer is worth 0 points, and each problem left unanswered is worth 2.5 points. If Charlyn leaves 8 of the 25 problems unanswered, how many of the remaining problems must she answer correctly in order to score at least 100 ?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
The 8 unanswered problems are worth points, so Charlyn must earn at least 80 additional points. The smallest multiple of 6 that is at least 80 is , so Charlyn must have at least correct answers.
The problems on this page are the property of the MAA's American Mathematics Competitions