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## Sagot :

**Answer:**

**There should be 9 pansies in each row ( 3 rows).**

**Step-by-step explanation:**

We have been given that the gardener has 27 pansies and 36 daisies and he plants an equal number of each type of flower in each row.

In order to find the same, we can find the H.C.F of 27 and 36.

[tex]27= 3\times 3\times 3\\36=2\times 2\times 3\times 3[/tex]

Therefore, H.C.F of 27 and 36 is given by

[tex]H.C.F = 3 \times 3 = 9[/tex]

**Therefore, there should be 9 pansies in each row ( 3 rows).**

The **greatest** possible number of pansies in each **row** is **9 pansies.**

Given,

A gardener has 27 **pansies** and 36 **daisies**.

The gardener plants an equal number of each type of flower in each **row**.

We have to find the **greatest** possible number of **pansies** in each **row**.

We have,

**Pansies** = 27 and **Daisies** = 36.

Since 27 is less than 36, all 27 **pansies** can be accommodated in the **rows** assumed if an **equal** number of each type of flower is planted in each **row**.

There can be two cases here:

Case 1 - 9 **rows** and 3 columns.

In each **row**, we can have 9 pansies and 9 daisies.

Case 2 - 3 **rows** and 9 columns.

In each **row**, we can have 3 pansies and 3 daisies.

Since we have to find the **greatest** possible number of pansies in each **row**.

The **greatest** possible number of pansies in each **row** is **9 pansies** from case 1.

The other method to do is to find the H.C.F of both the numbers.

27 = 3 x 3 x 3

36 = 3 x 3 x 4

So 3 x 3 = 9 is the H.C.F

Thus, the **greatest** possible number of pansies in each **row** is **9 pansies.**

Learn more about **rows** and **columns** here:

https://brainly.com/question/15171742

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