Question

A florist has 18 tulips and 12 carnations. If the florist wants to create identical bouquets without any leftover flowers, what is the greatest number of bouquets the florist can make?

Answer 1

There are 18 tulips and 12 carnations.

So now we need to find the HCF of 18 and 12

$\begin{array}{r | l} 2 & 12,18 \\ \cline{2-2} 3 & 6,9 \\ \cline{2-2} & 2, 3 \\ \end{array}$

∴ The HCF (Highest Common Factor) of 18 and 12 is $2\times 3=6$

Number of flowers a bouquet could have ⇒

$18\div 6 = 3$

$12\div6=2$

∴ One bouquet could consist of 3 tulips and 2 carnations.

Total no. of flowers ⇒ $18+12 = 30$

No. of bouquets ⇒ $30\div 6 = 5$

∴ The greatest number of bouquets the florist could make would be 5.

Additional Information ❤

What is HCF?

The highest number that divides exactly into two or more numbers is known as HCF.

What is the full form of HCF?

Highest Common Factor = HCF

What is a factor?

Two number we multiply together to get another number is known as a factor.

What is a common factor?

When we find the factors of two or more numbers, and if we find some factors are common, then they are the common factors.

Answer 2

Answer:

Step-by-step explanation:

Answer:

The greatest number of bouquets the florist can make is 3

Step-by-step explanation:

You have to find the GCF.

GCF= Greatest Common Factor

Venn diagram way:

15 | 18

/ \ / \

3 5 2 9

/ \

3 3

-------------------------------------------------------

So then...

Pretend there is a Venn diagram:

15 ● CF ● 18

5 ● 3 ● 3·2·9

3 is the GCF/answer

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More information

GCF

The greatest number that is a factor of two (or more) other numbers. When we find all the factors of two or more numbers, and some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor. Abbreviated "GCF". Also called "Highest Common Factor"

___________________________

What is HCF?

The highest number that divides exactly into two or more numbers is known as HCF.

Hope it helps you❤