A gardener has 27 pansies and 36 daisies. He plants an equal number of each type of flower in each row. What is the greatest possible number of pansies in each row?

Please explain.

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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Answered by swapnalimalwadeVT | 2024-06-16

The greatest possible number of pansies in each row is 9. This is determined by finding the greatest common divisor of the total pansies (27) and daisies (36). Thus, with 9 pansies per row, the gardener can plant them evenly with daisies.
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Answered by swapnalimalwadeVT | 2024-09-05