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?

Question

4(4x5)

2(8+10)

1(16+20)

4(4+5)

Answer 1

The correct answer is 4(4+5) using the GCF and the Distributive Property of multiplication over addition.

To use the GCF (Greatest Common Factor), we need to find the largest number that can divide both 16 and 20 evenly. The GCF of 16 and 20 is 4.

Next, we use the Distributive Property of multiplication over addition to distribute the GCF to both the blue blocks and the pink blocks.

With 16 blue blocks, we can divide them into 4 equal groups of 4 (16/4=4).

With 20 pink blocks, we can divide them into 4 equal groups of 5 (20/4=5).

So, the toddler should sort the blocks by putting 4 blue blocks and 5 pink blocks in each group. This can be represented as 4(4+5).

Answer 2

so what is the answer