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

Answer 1

Luis can make a maximum of 8 equal groups of plants, with each group containing 3 purple plants and 1 pink plant (24 purple plants divided by 8 groups = 3 purple plants per group, and 8 pink plants divided by 8 groups = 1 pink plant per group).

Explanation:

To determine the largest number of equal groups Luis can make with his 24 purple and 8 pink plants, we need to find the greatest common factor (GCF) of 24 and 8.

The prime factorization of 24 is 2 x 2 x 2 x 3, while the prime factorization of 8 is 2 x 2 x 2.

The GCF is the product of the common factors with the lowest exponent, which is 2 x 2 x 2 = 8.

Therefore, Luis can make a maximum of 8 equal groups of plants, with each group containing 3 purple plants and 1 pink plant (24 purple plants divided by 8 groups = 3 purple plants per group, and 8 pink plants divided by 8 groups = 1 pink plant per group).