An artist is creating a mosaic that cannot be larger than the space allotted which is 4 feet tall and 6 feet wide. The mosaic must be at least 3 feet tall and 5 feet wide. The tiles in the mosaic have words written on them and the artist wants the words to all be horizontal in the final mosaic. The world tiles come in two sizes: the smaller tiles are 4 inches tall and 4 inches wide, while the large tiles are 6 inches tall and 12 inches wide. if the small tiles cost $3:00 each and the large tiles cost $4.50 each, how many of each should be used to minimize the cost? What is the minimum cost?

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Mathematics

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2 September, 01:03

An artist is creating a mosaic that cannot be larger than the space allotted which is 4 feet tall and 6 feet wide. The mosaic must be at least 3 feet tall and 5 feet wide. The tiles in the mosaic have words written on them and the artist wants the words to all be horizontal in the final mosaic. The world tiles come in two sizes: the smaller tiles are 4 inches tall and 4 inches wide, while the large tiles are 6 inches tall and 12 inches wide. if the small tiles cost $3:00 each and the large tiles cost $4.50 each, how many of each should be used to minimize the cost? What is the minimum cost?

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Amir Velasquez · Answer 1

4 ft x 6 ft = 24 sq ft = 2160 sq in.

6 in. x 12 in. = 72 sq in.

(2160 sq in. / 72 sq in. = 30 large tiles.

30 large tiles to be used only.

The minimum cost is $135