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A florist orders sunflowers every 6 days, starting from the sixth day of the year, and daisies every 4 days, starting from the fourth day of the year. When (or on which day) will she orders both kinds of flowers on the same day? *

Respuesta :

JeanaShupp

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.

adioabiola

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

Read more:

https://brainly.com/question/4913940

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