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
#SPJ2