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 times 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 answer is 4(4+5). This is because the GCF of 16 and 20 is 4, and the Distributive Property of multiplication over addition states that a(b+c) is equal to ab + ac. Therefore, by multiplying 4 with the sum of 4 and 5, the toddler will have an equal number of blue and pink blocks in each group.