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?

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10-08-2017
Mathematics

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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?

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Аноним Аноним · Answer 1 · 2017-08-18T01:44:08+02:00

There are 27 pansies.
The factors of 27 are (3,9)
Therefore,
Either (a) plant 3 pansies in 9 rows, or
(b) plant 9 pansies in 3 rows.

There are 36 daisies.
The factors of 36 are (3,12), (6,6) or (9,4).
Therefore
Either (a) plant 3 daisies in 12 rows, or
(b) plant 12 daisies in 3 rows, or
(c) plant 6 daisies in 6 rows, or
(d) plant 9 daisies in 4 rows, or
(e) plant 4 daisies in 9 rows.

Because each row has an equal number of pansies and daisies, the only common arrangements are
(a) 9 pansies and 12 daisies in 3 rows, or
(b) 3 pansies and 4 daisies in 9 rows.

To have the greatest number of daisies in each row means planting 9 pansies and 12 daisies in 3 rows.

Answer:
The greatest number of pansies per row is 9.
Plant 9 pansies and 12 daisies in 3 rows.