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 catastrophic 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
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15
All AIME Problems and Solutions

Page

Toolbox

Search

2024 AIME I Problems/Problem 15

Solution

See also