Tori is making flower arrangements. She has 12 roses and 20 daisies. If Tori wants to make all the arrangements identical and have no flowers left over, what is the greatest number of flower arrangements she can make?

The greatest number of flower arrangements she can make is 4

Step-by-step explanation:

GCF is the greatest common factor of two numbers

Ex: Find the greatest common factor of 12 and 18

We will use GCF to solve the problem

∵ Tori is making flower arrangements

∵ She has 12 roses and 20 daisies

∵ Tori wants to make all the arrangements identical and have

   no flowers left over

- That means the number of arrangements will be the GCF of 12

   and 20

∵ The factors of 12 are 1, 2, 3, 4, 6, 12

∵ The factors of 20 are 1, 2, 4, 5, 10, 20

∴ The common factors of 12 and 20 are 1, 2, 4

∵ The greatest one of them is 4

∴ GCF of 12 and 20 is 4

- That means she can make 4 flower arrangements

∵ 12 ÷ 4 = 3

∴ The number of roses in each arrangement is 3

∵ 20 ÷ 4 = 5

∴ The number of daisies in each arrangement is 5

∴ She can make 4 flower arrangements of 3 roses and 5 daisies

The greatest number of flower arrangements she can make is 4

Learn more:

You can learn more about the word problems in link

#LearnwithBraily

answer: b.

step-by-step explanation:

the y coordinate for point b is 0, and answer b is the only one with that y coordinate.

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.