Difference between revisions of "2022 AIME II Problems"
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{{AIME Problems|year=2022|n=II}} | {{AIME Problems|year=2022|n=II}} | ||
==Problem 1== | ==Problem 1== | ||
| − | < | + | Adults made up <math>\frac5{12}</math> of the crowd of people at a concert. After a bus carrying <math>50</math> more people arrived, adults made up <math>\frac{11}{25}</math> of the people at the concert. Find the minimum number of adults who could have been at the concert after the bus arrived. |
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[[2022 AIME II Problems/Problem 1|Solution]] | [[2022 AIME II Problems/Problem 1|Solution]] | ||
Revision as of 23:02, 17 February 2022
| 2022 AIME II (Answer Key) | AoPS Contest Collections • PDF | ||
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Instructions
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| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
to 
, inclusive. Your score will be the number of correct answers; i.e., there is neither partial credit nor a penalty for wrong answers.Contents
Problem 1
Adults made up 
of the crowd of people at a concert. After a bus carrying 
more people arrived, adults made up 
of the people at the concert. Find the minimum number of adults who could have been at the concert after the bus arrived.
Problem 2
![\[\textbf{Please do not post this problem until the contest is released.}\]](http://latex.artofproblemsolving.com/6/8/b/68b95cde68b1140211f4700c09dba3f89cc56b5a.png)
Problem 3
Problem 4
Problem 5
Problem 6
Problem 7
Problem 8
Problem 9
Problem 10
Problem 11
Problem 12
Problem 13
Problem 14
Problem 15
See also
| 2022 AIME II (Problems • Answer Key • Resources) | ||
| Preceded by 2022 AIME I |
Followed by 2023 AIME I | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
| All AIME Problems and Solutions | ||
- American Invitational Mathematics Examination
- AIME Problems and Solutions
- Mathematics competition resources
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
