Question

Bryan is setting charis in rows for graduation ceremony he has 50 black chars,and 60 white charis each row will have the same number of chairs what is the greatest number of chairs that he can fit in each row?how many rows of each coler chair will there be

please help and show me how you did it thanks!!

Answer 1

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

Answer 2

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