A toddler has 40 blocks, of which 12 are blue and 28 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

Question

1. 4(3x7)
2. 2(6+14)
3. 3(4+9)
4. 4(3+7)

Answer 1

The correct answer is 4(3+7).

To distribute the GCF (which is 4) over the sum (3+7), we can multiply 4 by each term inside the parentheses:
4(3+7) = 4(3) + 4(7) = 12 + 28.

So the toddler should sort the blocks as follows:
12 blue blocks and 28 pink blocks.