SOLUTION: 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 tile

Question 1128105: 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 word 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 $3.50 each and the larger tiles cost $4.50 each, how many of each should be used to minimize the cost? What is the minimum cost?
When I first worked out this problem, I had gotten the answer as 30 large tiles at $135. However, my teacher said this was incorrect.
Answer by ikleyn(52788) (Show Source): You can put this solution on YOUR website!
.
This problem came to the forum long time ago, and I solved it under this link

https://www.algebra.com/algebra/homework/coordinate/word/Linear_Equations_And_Systems_Word_Problems.faq.question.1116821.html

https://www.algebra.com/algebra/homework/coordinate/word/Linear_Equations_And_Systems_Word_Problems.faq.question.1116821.html

I got the same answer as 30 large tiles at $135,

and I believe it is correct until somebody disproves it.

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In Math, somebody's opinion does not matter.

The proof (or disproof) matters.

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