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Australian AMC 2021 - Intermediate Question 30

AMC AUSTRALIA · Australian AMC 2021 - Intermediate

Question 30

Tyler has many square tiles, all the same size. He has four times as many blue tiles as red tiles. He builds a large rectangle using all the tiles, with red tiles forming a boundary one tile wide around the blue tiles. He then breaks up this rectangle and uses the tiles to make two smaller rectangles. Each smaller rectangle also has four times as many blue tiles as red tiles, with red tiles forming a one-tile-wide boundary around the blue tiles. How many blue tiles does Tyler have?

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