Track / Stage 5 / 28 of 400 #628 of 1964

Problem 628

AIME late

Combinatorics Difficulty 5.0 Find the answer

There is a water tap and two containers: a three-liter and a five-liter. How can you get 4 liters of water in the larger one?

Your answer

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Official solution

82. Let's fill a five-liter container and pour 3 liters from it into a three-liter container. Then we will empty the three-liter container and transfer the 2 liters of water remaining in the five-liter container into it. Finally, we will fill the five-liter container from the tap and pour 1 liter from it into the three-liter container. Now we will have 4 liters of water in the five-liter container.

Source: NuminaMath-1.5, licensed Apache-2.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.