Question

Question

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)
Responses

2(8+10)
2 left parenthesis 8 plus 10 right parenthesis

4(4+5)
4 left parenthesis 4 plus 5 right parenthesis

4(4×5)
4 left parenthesis 4 times 5 right parenthesis

1(16+20)

Answer 1

To determine how the toddler should sort the blocks using the GCF (greatest common factor) and the Distributive Property, we first identify the GCF of the numbers of blue and pink blocks.

The toddler has:

• 16 blue blocks
• 20 pink blocks

The GCF of 16 and 20 is 4. This means that each group can have 4 blue blocks and 5 pink blocks (since 16 divided by 4 is 4, and 20 divided by 4 is 5).

Using the distributive property, the toddler can represent the total number of blocks in a way that shows equal groups of blue and pink blocks. Therefore, they could represent it as:

4(4 + 5)

This shows that there are 4 groups, each containing 4 blue blocks and 5 pink blocks.

Thus, the best answer is: 4(4 + 5).