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 order both kinds of flowers on the same day?

a) 24

b) 30

c) 36

d) 42

Answer 1

To find the day when the florist orders both sunflowers and daisies, the Least Common Multiple (LCM) of 6 and 4 must be determined. The first common multiple is 24, meaning the florist orders both types of flowers on day 24.

Step-by-step explanation:

The question is about finding a common day when a florist orders both sunflowers and daisies. Given that the florist orders sunflowers every 6 days starting from day 6 of the year, and orders daisies every 4 days starting from day 4 of the year, we need to find the Least Common Multiple (LCM) of the two cycles (6 days and 4 days) to determine the first day they both coincide.

• Multiple of 6: 6, 12, 18, 24, 30, 36, 42, ...
• Multiple of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, ...

From the list of multiples, the smallest common multiple is 24, indicating that the florist would order both kinds of flowers on the 24th day of the year. Therefore, the correct answer is a) 24.