Xiaoming is making cookies. Each batch uses 3 eggs. If he has 20 eggs, what is the greatest number of batches he can make?

To determine how many batches of cookies Xiaoming can make with 20 eggs, you need to understand how the number of eggs relates to the number of batches. Each batch requires a specific number of eggs—in this instance, 3 eggs per batch.

To find the maximum number of batches, you divide the total number of eggs by the number of eggs needed per batch:

20 eggs ÷ 3 eggs per batch = 6.67 batches

Since Xiaoming cannot make a fraction of a batch, you take the whole number portion of that division, which is 6. This means that the greatest number of full batches he can prepare is 6.

Thus, when considering the options available, the most logical choice reflecting the maximum whole number of batches he can successfully bake is 6.