There are 36 roses and 27 carnations. anna is making flower arrangements using both flowers, if she made the maximum number of arrangements, how many carnations would be in each?

This is a GCF problem,

find the GCF of 36 and 27. To do this, list out the factors for each number.

EX 36 - 1*36, 2*18, so on and so on. Then do this for 27. The GCF will be the greatest factor. In this case, that is 9.

So there would be 9 groups because that is the greatest common factor.

there would be 4 roses in each group because 4*9 = 36.

There are 3 carnations in each group because 9*3 = 27.

So 9 groups with 4 roses and 3 carnations.