2019 AMC 8 Problem 7
Attempt Problem 7 of the 2019 AMC 8 below, then check your answer against the video solution and professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2019 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
7.
Shauna takes five tests, each worth a maximum of points. Her scores on the first three tests are and In order to average for all five tests, what is the lowest score she could earn on one of the other two tests?
Answer: A
Small hint:
The five scores must total
Big hint:
Make one remaining score as large as possible
Video solution:
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Written solution:
To minimize one of the scores, we have to maximize the other score. Assume that Shauna gets a on her fourth test.
The sum of the tests is then For an average of Shauna’s test scores must add to This means that she needs to get a on her last test.
Thus, the correct answer is A.
Problem 7 in other years
- 1985 AMC 8
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