Matias and hannah are responsible for the centerpieces on the buffet tables at the school dance. they have 6 dozen carnations,80 lilies, and 64 rosebuds. all the centerpieces must be identical. determine the greatest number of centerpieces matias and hannah can make if they use all the flowers. then describe the centerpiece

To answer this question, you will need to find the greatest common factor of all the numbers of flowers. This will be the biggest way we can divide them all out evenly.

There are 2 ways you can find the gcf:
1. List all factors
72-1,2,3,4,6,8,9,12,24, 36, 72
80-1,2,4,5,8,10,16,20,40,80
68-1,2,4,17, 34, 68
The greatest common factor is 4.

2. List prime factorization and match all prime numbers from all 3 lists.
72=2x2x2x3x3
80=2x2x2x2x5
68=2x2x17

2x2=4 flower arrangements

Each of the 4 center pieces will have 18 carnations, 20 lilies, and 17 rosebuds.

The lateral side of a triangular pyramid is a triangle. in order to increase the lateral surface area, the slant height and the height should be altered