Question

Jenny, the florist, had 72 roses, 27 gladioli, and 54 marigolds to be used to make
bouquets. She has to make identical bouquets having all three varieties of flowers
What is the maximum number of identical bouquets that Jenny can make if she
uses all the flowers?​

Answer 1

Answer:

48

Step-by-step explanation:

after making 48 bouquets which are identical by using all type of flowers in them all marigolds are used so after making 48 bouquets any other bouquet will not contain marigold which means they won't be identical to the previous ones so the maximum number of identical bouquets can be made is 48 .

hope it helps :)

Answer 2

The maximum number of identical bouquets that Jenny can make using all the flowers is 17.

Given,

The florist jenny had

Roses = 72.

Gladioli = 27.

Marigolds = 54.

To Find,

The maximum number of identical bouquets that Jenny can make.

Solution,

There are three different types of flowers are used such as 72 roses, 27 gladioli, and 54 marigolds.

Firstly, we have to take the HCF of all the quantities.

HCF of 72,27 and 54 are as follows:

72 = 9 ×8.

27 = 9 ×3.

54 = 9 ×6.

So, 9 is common in all the quantities.

HCF = 9.

Now, To find the maximum number of bouquets

we have to divide quantities with HCF and add them all.

= $\frac{72}{9}$ + $\frac{27}{9}$ + $\frac{54}{9}$.

= 8 + 3 + 6

= 17.

The maximum number of identical bouquets that Jenny can make using all the flowers is 17.

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