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?

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

To sort the blocks so that each group has both colors of blocks with equal numbers of blue and pink blocks, we can use the GCF (Greatest Common Factor) and the Distributive Property.

The GCF of 16 and 20 is 4.

Now, let's use the Distributive Property of multiplication over addition.

We have:
4(4x5)

To calculate 4x5, we get 20.

So, the answer is 4(20).

Therefore, the best answer that shows how the toddler should sort the blocks using the GCF and the Distributive Property of multiplication over addition is 4(20).

Answer 3

To solve this problem using the GCF (Greatest Common Factor) and the Distributive Property of multiplication over addition, we need to find the common factors of the number of blue and pink blocks.

In this case, the number of blue blocks is 16 and the number of pink blocks is 20.

Step 1: Find the GCF
The greatest common factor of 16 and 20 is 4. This means that 4 is the largest number that divides both 16 and 20 evenly.

Step 2: Distributive Property
Using the Distributive Property of multiplication over addition, we can distribute the GCF (4) to both the number of blue blocks and the number of pink blocks.

4(16) + 4(20)

Now we can simplify the expression:

4(16) = 64
4(20) = 80

So the final expression is:

64 + 80 = 144

Therefore, the correct answer is 4(4x5).

Answer 4

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

To sort the blocks so that each group has both colors of blocks with equal numbers of blue and pink blocks, we can use the GCF (Greatest Common Factor) and the Distributive Property.

To solve this problem using the GCF (Greatest Common Factor) and the Distributive Property of multiplication over addition, we need to find the common factors of the number of blue and pink blocks.

so what is the answer