Question

Sandy has 16 roses,8 daisies,and 32 tulips.She wants to arrange all the flowers in bouguets.Each bouguet has the same number of flowers and the same type of flower.What is the greatest number of flowers that could be in a bouguet?

Answer 1

If you want a total of eight bouquet then there can be seven flowers in each on. There can be four tulips, one daisy, and two roses. However if you're looking for a smaller amount of then you can go for four bouquets and have a total of 14 flowers in each one. You'd then have eight tulips, two daisies, and four roses!

Answer 2

So,

We basically have to find the GCF, or Greatest Common Factor.

To find the GCF, factor all of the numbers and find the common numbers within them.

16 = 2 * 2 * 2 * 2
8 = 2 * 2 * 2
32 = 2 * 2 * 2 * 2 * 2

We can see that there are 3 2's in all of the numbers.  Therefore, the GCF must be the product of 3 2's, which is:
2 * 2 * 2 = 8

Therefore, the greatest number of flowers Sandy can have in each bouquet is 8.