Question

Luis purchased 24 purple plants and 8 pink plants. He wants to plant them in equal groups in his garden. What is the largest number of groups he can make?

A) 3
B) 4
C) 6
D) 8

Answer 1

To determine the largest number of equal groups for the plants Luis purchased, the greatest common divisor (GCD) of 24 and 8 is calculated and found to be 8.

Step-by-step explanation:

Luis purchased 24 purple plants and 8 pink plants, and he wants to plant them in equal groups in his garden. To find the largest number of groups he can make, we need to find the greatest common divisor (GCD) of 24 and 8.

• Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
• Factors of 8: 1, 2, 4, 8

In this case, the GCD of 24 and 8 is 8. Therefore, Luis can make 8 groups of plants, with each group having an equal number of plants.

The largest factor that appears in both lists is 8. Hence, the largest number of groups Luis can make is 8, which corresponds to option D.