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)
To use the GCF and the Distributive Property of multiplication over addition, the toddler needs to find the greatest common factor between the number of blue blocks and the number of pink blocks. In this case, the GCF between 16 and 20 is 4.
To evenly distribute the blocks, the toddler can group them into sets of 4 blocks. Each set will have 2 blue blocks and 2 pink blocks.
The toddler can sort the blocks as follows:
- Place 2 blue blocks and 2 pink blocks in the first group.
- Place 2 blue blocks and 2 pink blocks in the second group.
- Place 2 blue blocks and 2 pink blocks in the third group.
- Place 2 blue blocks and 2 pink blocks in the fourth group.
- Place the remaining 8 pink blocks and 4 blue blocks in the fifth group.
So the blocks should be sorted into 5 groups as follows:
Group 1: 2 blue blocks, 2 pink blocks
Group 2: 2 blue blocks, 2 pink blocks
Group 3: 2 blue blocks, 2 pink blocks
Group 4: 2 blue blocks, 2 pink blocks
Group 5: 4 blue blocks, 8 pink blocks