2025 AMC 8 Problems/Problem 7
Contents
[hide]Problem
On the most recent exam on Prof. Xochi's class,
students earned a score of at least
,
students earned a score of at least
,
students earned a score of at least
,
students earned a score of at least
,
How many students earned a score of at least and less than
?
Solution 1
people scored at least
, and out of these
people,
of them earned a score that was not less than
, so the number of people that scored in between at least
and less than
is
.
~Soupboy0
Solution 2
Let denote the number of people who had a score of at least
, but less than
, and let
denote the number of people who had a score of at least
but less than
. Our answer is equal to
. We find
, while
. Thus, the answer is
.
-vockey
Video Solution 1 by Cool Math Problems
https://youtu.be/BRnILzqVwHk?si=kOvMjPSxqVZR8Mmt&t=89
Video Solution 2 by SpreadTheMathLove
https://www.youtube.com/watch?v=jTTcscvcQmI
Video Solution 3
Video Solution 4 by Thinking Feet
Video Solution 5 by Daily Dose of Math
See Also
2025 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 6 |
Followed by Problem 8 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
All AJHSME/AMC 8 Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.