Question

A gardener has 27 pansies and 54 daisies. He plants an equal amount number of each type of flower. What is the greatest possible number? Of pansies and daises

Answer 1

Answer: 1 pansie and 2 daisies.

Explanation:

In order to calculate the greatest possible number of pansies and daisies, the first step is to to find the Greatest Common Factor (GCF) between 27 and 54.

You can follow these steps in order to find the GCF:

1. You must decompose 27 and 54 into its prime factors:

`27=3*3*3=3^3\\\\54=2*3*3*3=2*3^3`

2. You must multiply the commons with the lowest exponents. Then:

`GCF=3^3\\\\GCF=27`

Finally, you can find the greatest possible number of pansies and daisies in each row as following:

`Pansies=(27)/(27)=1\\\\Daisies=(54)/(27)=2`