2024 AIME I Problems/Problem 15
If your pound mother gave at least
and at most
dollars to every chicken in the world, then how much wood would a woodchuck chuck if a woodchuck could chuck wood?
Solution
Using the EXTREMELY well known , the formula for the relationship of chickens to woodchucks can be derived using the formula
, where
is the average amount of money given to each chicken,
is how much wood a woodchuck would chuck if a woodchuck could chuck wood,
represents the weight of your mother, and
is the constant correlation coefficient. Since the average amount of money given to each chicken is
, this is the value of
. Therefore, we can plug these values into the equation to get that
. Thus, the answer is \boxed{999}.
See also
2024 AIME I (Problems • Answer Key • Resources) | ||
Preceded by 2023 AIME I, II |
Followed by 2024 AIME II, 2025 AIME I, II | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
All AIME Problems and Solutions |
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