2007 AMC 12B Problem 12
Attempt Problem 12 of the 2007 AMC 12B 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 2007 AMC 12B solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
12.
A teacher gave a test to a class in which of the students are juniors and are seniors. The average score on the test was The juniors all received the same score, and the average score of the seniors was What score did each of the juniors receive on the test?
Answer: C
Small hint:
Assume a convenient class of students: junior and seniors
Big hint:
Total points must satisfy
Solution:
Take a class of students, so there is junior and seniors.
The total of all scores is and the seniors contribute So the junior scored
Thus, the correct answer is C.
Problem 12 in other years
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