Bryan is setting chairs in rows for the graduation ceremony. He has 50 black chairs and 60 white chairs.

What is the greatest number of chairs that he can fit in each row? How many rows of each color chair will there be?

Please show your work.

Assuming that no row can have a combination of black and white chairs, there will be 11 rows, each consisting of 10 chairs. 5 of these rows will have black chairs, and 6 of these rows will have white chairs. I arrived at this by finding the GCF (or greatest common multiple) of 50 and 60, which is 10. That number represents the maximum number of chairs per row. Then, I added 50 and 60, to get 110, and divided that by the number of chairs per row, 10, to arrive at there being 11 rows. 50/110 chairs are black, meaning 5 rows are black, and 60/110 chairs are white, meaning 6 rows are white. Hope this helps! ~ArchimedesEleven

Answered by ArchimedesEleven | 2024-06-10

the factors of 60 are 1,2,3,5,6,10,12,20,30,and 60 the factors of 50 are 1,2,5,10,15,and 30 so the GCF is 10

Answered by Anonymous | 2024-06-10

Bryan can fit a maximum of 10 chairs in each row. He will have 5 rows of black chairs and 6 rows of white chairs, making a total of 11 rows. This arrangement uses all of his chairs efficiently.
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Answered by ArchimedesEleven | 2024-09-12