Your group has 12 red tiles and 18 blue tiles. Your job is to arrange the tiles in rows. You must use all the tiles, a row can only contain only blue or only red tiles, each row can only contain the same number of tiles, and the rows should be as long as possible.

Question

Your group has 12 red tiles and 18 blue tiles. Your job is to arrange the tiles in rows. You must use all the tiles, a row can only contain only blue or only red tiles, each row can only contain the same number of tiles, and the rows should be as long as possible.

Solution: Find the GCF for 12 and 18 which is 6. So, the longest row will have 6 tiles; 3 rows of blue and 2 rows of red? Is this correct?

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Answer 1

Yes! Good job!

Answer 2

Thanks so much for checking. I have more like this, so now I know how to do them.

Answer 3

You are very welcome.

Answer 4

Yes, that is correct! To find the longest possible row length, you need to find the Greatest Common Factor (GCF) of the number of red and blue tiles. In this case, the GCF of 12 and 18 is 6.

To arrange the tiles in rows, you can have 3 rows of blue tiles and 2 rows of red tiles, with each row containing 6 tiles. This way, you can use all the tiles, and each row only contains the same color of tiles.

The arrangement would look like this:
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Well done!