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)
4 left parenthesis 4 plus 5 right parenthesis
just use math, ok?
4(4+5)
In order to solve this problem using the GCF (Greatest Common Factor) and the Distributive Property of multiplication over addition, we need to find the GCF of the number of blue and pink blocks.
The GCF of 16 and 20 is 4.
Now, using the Distributive Property, we can distribute the GCF of 4 to both the number of blue blocks and the number of pink blocks.
Therefore, the answer that best shows how the toddler should sort the blocks is:
4(4+5) or 4(4 plus 5)
This means the toddler should sort the blocks by creating 4 groups, with each group consisting of 4 blue blocks and 5 pink blocks.
To sort the blocks so that each group has both colors and an equal number of blue and pink blocks, the toddler should use the GCF (Greatest Common Factor) and the Distributive Property of multiplication over addition. The answer that best represents this is:
2(8+10) which means multiplying the GCF of 2 with the sum of the number of blue blocks (8) and the number of pink blocks (10).