63.1k views
2 votes
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 is the first THREE TIMES she will order the flowers on the same day?

User Chris Mack
by
2.7k points

2 Answers

4 votes

Answer: 1 2 3

Step-by-step explanation:

User Eli Barzilay
by
3.4k points
6 votes

Answer: 12th day

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.

User Jzop
by
3.2k points