Track / Stage 4 / 264 of 340 #524 of 2000

Problem 524

AMC 12 late, AIME early

Combinatorics Difficulty 5.0 Find the answer

38. Pete, Vasya, Kolya, and Tolya went fishing. Kolya caught less fish than Tolya, Pete and Vasya together caught as much as Kolya and Tolya. Pete and Tolya together caught less than Vasya and Kolya. What place in terms of the size of the catch does each of them occupy?

Your answer

Official solution

38. Vasya caught the most, followed by Tolya, then Kolya, and Pete caught the least.

Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic, difficulty and ordering added by this site.