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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