AMC12 2004 A
AMC12 2004 A · Q2
AMC12 2004 A · Q2. It mainly tests Arithmetic misc.
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 $100$?
在 AMC 12 中，每道正确答案得 $6$ 分，每道错误答案得 $0$ 分，每道未答题得 $2.5$ 分。如果 Charlyn 留下 $8$ 道（共 $25$ 道）题未答，她需要在剩余题目中答对多少道才能得分至少 $100$？
(A)
11
11
(B)
13
13
(C)
14
14
(D)
16
16
(E)
17
17
Answer
Correct choice: (C)
正确答案：（C）
Solution
She gets $8*2.5=20$ points for the problems she didn't answer. She must get $\left\lceil \frac{100-20}{6} \right\rceil =14 \Rightarrow \text {(C)}$ problems right to score at least 100.
未答的题目得分为 $8*2.5=20$ 分。她必须答对 $\left\lceil \frac{100-20}{6} \right\rceil =14 \Rightarrow \text {(C)}$ 道题，才能得分至少 100。
Topics
Related Questions
Practice full AMC exams on amcdrill.
Try full-length practice and diagnostics at www.amcdrill.com.