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)

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

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

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

1(16+20)
1 left parenthesis 16 plus 20 right parenthesis

4(4×5)

Answer 1

The correct answer is 2(8+10).

By using the GCF (Greatest Common Factor) of 2, we can divide both the number of blue blocks and the number of pink blocks by 2 to ensure an equal number in each group.

So, the number of blue blocks in each group would be 16/2 = 8, and the number of pink blocks in each group would be 20/2 = 10.

Using the Distributive Property of multiplication over addition, we can multiply the number of groups (2) by the sum of the number of blue blocks (8) and the number of pink blocks (10).

Therefore, the toddler should sort the blocks using 2(8+10).