Question

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? *

Answer 1

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.