A toddler has 36 blocks, of which 16 are blue and 20 are pink. They want to sort the blocks so that each group has both colors of blocks. The toddler also wants each group to have an equal number of blue blocks and an equal number of pink blocks. Which answer best shows how the toddler should sort the blocks using the GCF and the Distributive Property of multiplication over addition?(1 point)

To determine how the toddler should sort the blocks using the greatest common factor (GCF) and the distributive property, we first need to find the GCF of the blue blocks (16) and the pink blocks (20).

The GCF of 16 and 20 is 4. This means we can make groups of blocks where each group has 4 blue blocks and 5 pink blocks (since 16 divided by 4 equals 4 and 20 divided by 4 equals 5).

Using the distributive property, we can express the total number of blocks sorted into groups as:

• 4 groups of (4 blue blocks + 5 pink blocks)

This can be shown as:

4(4 + 5)

Thus, the best answer that reflects how the toddler should sort the blocks is:

4(4 + 5)