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A florist has 56 roses and 70 carnations to make table centerpieces. He wants to put an equal number of roses and carnations into each centerpiece. Use the drop-down menus to complete the statements below about the number of centerpieces the florist can make if he uses all the flowers.

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Answer:

2, 7 or 14

Step-by-step explanation:

Prime factorization

56 = 2 × 2 × 2 × 7

70 = 2 × 5 × 7

HCF = 2 × 7 = 14

He can make 2, 7 or 14 centerpieces

The maximum number of centerpieces that can be made by the florist is 14 centerpieces

How to determine the maximum number of centerpieces

The given parameters are:

Roses = 56

Carnations = 70

Take the largest common factor of both numbers

56 = 1 * 2 * 4 * 7

Carnations = 1 * 2 * 5 * 7

The common factors are:

Factor = 1 * 2 * 7

Evaluate

Factor = 14

This means that the maximum number of centerpieces that can be made by the florist is 14

Read more about LCM at:

https://brainly.com/question/16054958

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