2024 AIME I Problems/Problem 15

If your $400$ pound mother gave at least $1$ and at most $1254$ 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 $Goofy Goober's Law$ , the formula for the relationship of chickens to woodchucks can be derived using the formula $C^2=4W_0 mc$ , where $C$ is the average amount of money given to each chicken, $W_0$ is how much wood a woodchuck would chuck if a woodchuck could chuck wood, $m$ represents the weight of your mother, and $c$ is the constant correlation coefficient. Since the average amount of money given to each chicken is $1255/2$ , this is the value of $C$ . Therefore, we can plug these values into the equation to get that $W_0=999$ . Thus, the answer is $\boxed{999}$ .

2024 AIME I (Problems • Answer Key • Resources)
Preceded by 2023 AIME I, II	Followed by 2024 AIME II, 2025 AIME I, II
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2024 AIME I Problems/Problem 15

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