Final answer:
The greatest number of roses that Michelle can plant in each row is 5, which is the greatest common divisor of 30 roses and 35 daisies.
Step-by-step explanation:
To find the greatest possible number of roses Michelle can plant in each row of her garden, we need to determine the greatest common divisor (GCD) of the total number of roses and daisies she has, which are 30 and 35 respectively. By finding the GCD, we ensure that she plants an equal number of roses and daisies in each row.
To find the GCD of 30 and 35, list out the factors of each:
- Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
- Factors of 35: 1, 5, 7, 35
The largest number that appears in both lists is 5. Thus, the greatest possible number of roses in each row is 5, as well as for daisies.