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?

Respuesta :

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

  • Factors of 12 are 1, 2, 3, 4, 6, 12
  • Factors of 18 are 1, 2, 3, 6, 9, 18
  • The common factors of 12 and 18 are 1, 2, 3 and 6
  • The greatest one is 3, then GCF of 12 and 18 is 6

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 brainly.com/question/10557938

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