Ramona is filling window box planters that will be sold to benefit a local charity. She has 56 pansies, 42 tulips, and 28 marigolds. What is the greatest number of planters she can fill if she wants to use all of the flowers and have the same number of each type of flower in each planter? How many of each flower type will be in a planter?

The distribution of each one of the 14 planters is:

4 pansies

3 tulips

2 marigolds

All of the flowers were used by Ramona.

Step-by-step explanation:

1. Let's find the number of planters and how many of each flower type will be in each planter, using the Hamilton method

Number of planters = 14

We calculate this using Greatest Common Divisor between 56, 42 and 28.

Total number of flowers = 126 (56 pansies, 42 tulips, and 28 marigolds)

Standard divisor = 14 (Number of planters)

Now, we can apportion the flowers in in Standard quotas, this way:

56 pansies = 56/14 = 4

42 tulips = 42/14 = 3

28 marigolds = 28/14 = 2

Like there are not decimals, we can use this quotas as the number of flowers distributed in each planter.

The distribution of each one of the 14 planters is:

4 pansies

3 tulips

2 marigolds

All of the flowers were used by Ramona.