2022 AIME II Problems/Problem 1
Problem
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.
Solution 1
Let be the number of people at the party before the bus arrives. We know that , as of people at the party before the bus arrives are adults. Similarly, we know that , as of the people at the party are adults after the bus arrives. can be reduced to , and since we are looking for the minimum amount of people, is . That means there are people at the party after the bus arrives, and thus there are adults at the party.
~eamo
Video Solution (Mathematical Dexterity)
https://www.youtube.com/watch?v=gBIxZ6SUr_w
See Also
2022 AIME II (Problems • Answer Key • Resources) | ||
Preceded by First Problem |
Followed by Problem 2 | |
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