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

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. 2(8+10)
2. 4(4x5)
3. 1(16+20)
4. 4(4+5)

Answer 1

The correct answer is 4. 4(4+5).

To use the GCF (Greatest Common Factor) and the Distributive Property of multiplication over addition, we need to find the GCF of the number of blue blocks and pink blocks. The GCF of 16 and 20 is 4.

Next, we multiply the GCF by the sum of the number of blue blocks and pink blocks, which in this case is (16+20). This gives us 4(4+5), which equals 36.

So, the toddler should sort the blocks into 4 groups, with each group having 4 blue blocks and 5 pink blocks.