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 1(16+20) 1 left parenthesis 16 plus 20 right parenthesis 4(4×5) 4 left parenthesis 4 times 5 right parenthesis 4(4+5)
To sort the blocks so that each group has both colors and an equal number of blue and pink blocks, the toddler can use the GCF (Greatest Common Factor) and the Distributive Property of multiplication over addition.
The GCF of 16 and 20 is 4. This means that each group should have 4 blue blocks and 4 pink blocks.
Using the Distributive Property, we can express the total number of blocks as the product of the GCF and the sum of the number of blue and pink blocks: 4(16 + 20).
Therefore, the correct answer is: 4(16 + 20).