Question

describing how to find a solution
type of flower amount
lilies 60
daisies 36
carnations 72
asters 42
daffodils 24
the florist makes the greatest number of identical arrangements with the carnations and asters. she has 72 carnations and 42 asters. how can she decide how many carnations to place in each arrangement?
subtract the number of asters from the number of carnations.
divide the number of carnations by the gcf of 72 and 42.
find the least common multiple of 72 and 42.
find the greatest common factor of 72 and 42.

Explanation:

Step1: Understand the problem

The goal is to make identical arrangements. We need to use the concept of greatest - common factor (GCF) for dividing the flowers evenly among arrangements.

Step2: Recall the principle

To divide two quantities into the greatest number of equal - sized groups, we find the GCF of the two quantities. Here, the two quantities are the number of carnations (72) and the number of asters (42). Once we find the GCF, dividing the number of carnations by the GCF will give the number of carnations in each arrangement.

Answer:

Divide the number of carnations by the GCF of 72 and 42.