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
See Also
2022 AIME II (Problems • Answer Key • Resources) | ||
Preceded by First Problem |
Followed by Problem 2 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
All AIME Problems and Solutions |
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