Maths Olympiad Prep

Track / Stage 4 / 306 of 340 #566 of 1964

Problem 566

AMC 12 late, AIME early
Geometry Difficulty 5.0 Find the answer

1. Wolf Grey was renovating his house, originally planning to use 128 large square tiles to cover the entire floor. Just when he was halfway through the construction, Wolf Grey changed his plan, deciding to use small square tiles for the remaining floor. If the side length of the small tiles is 60%60\% smaller than that of the large tiles, at least \qquad small tiles are needed. (Tiles can be cut)

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

Official solution

400400

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