Sandy has 27 roses, 9 daisies, and 45 tulips. She wants to arrange all the flowers in bouquets. Each bouquet has the same number of flowers and the same type of flower. What is the greatest number of flowers that could be in a bouquet?

The greatest number of flowers that could be in a bouquet is 9 flowers.

Each bouquet would contain: 3 roses, 1 daise and 5 tulips

Step-by-step explanation:

Sandy has 27 roses, 9 daisies, and 45 tulips. She wants to arrange all the flowers in bouquets. Each bouquet has the same number of flowers and the same type of flower. What is the greatest number of flowers that could be in a bouquet?

We solve the above question using Greatest Common Factor method.

We find the factors of 27, 9 and 45

The greatest common factor is the highest factor common to these 3 number

Hence:

The factors of 9 are: 1, 3, 9

The factors of 27 are: 1, 3, 9, 27

The factors of 45 are: 1, 3, 5, 9, 15, 45

Then the greatest common factor is 9.

Therefore, the greatest number of flowers that could be in a bouquet is 9 flowers

Each bouquet would contain

For 27 roses = 27/9 bouquet = 3 roses

For 9 daisies = 9 daisies/9 bouquet = 1 daisies

For 45 tulips = 45 tulips/9 bouquet = 5 tulips

y=mx+b

step-by-step explanation:

m is slope, b is y-intercept