Answer: 12th day
Step-by-step explanation:
Given , A florist orders sunflowers every 6 days and daisies every 4 days.
When it started from same day, then the next day she orders both kinds of flowers on the same day will be LCM (6,4), where LCM = Least Common Multiple.
Prime factorization:
6 = 2 x 3
4 = 2 x 2
LCM(6,4) = 2 x 2 x 3 = 12
Hence, she will order both kinds of flowers every 12 days.
The day she will order both kinds of flowers on the same day is 12th day of the year
Given:
Sunflower order = every 6 days
Daisies order = every 4 days
Find the lowest common multiple of 6 days and 4 days
6 days = 6, 12, 18, 24, 30, 36, 42, 48, 54, 60
4 days = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60
The lowest common multiple of 6 days and 4 days is 12 days
Therefore, the day she will order both kinds of flowers on the same day is 12th day of the year
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