Final answer:
Robbie does not have enough black pepper for 6 batches of soup, as he needs 3/4 teaspoon but only has 2/3 teaspoon.
Step-by-step explanation:
Robbie needs to determine if he has enough black pepper for 6 batches of chicken noodle soup. Since one batch requires 1/8 teaspoon, he would require 6 times 1/8 teaspoon for 6 batches.
We calculate the total amount of black pepper needed for 6 batches as follows:
- 6 × 1/8 teaspoon = 6/8 teaspoon
- 6/8 teaspoon simplifies to 3/4 teaspoon (since 6 and 8 are both divisible by 2).
Robbie has 2/3 teaspoon of black pepper on hand. To determine if he has enough, we compare the amount needed (3/4 teaspoon) to the amount he has (2/3 teaspoon).
Robbie does not have enough black pepper because 3/4 teaspoon is more than 2/3 teaspoon. Therefore, he needs to acquire more black pepper to make all 6 batches of soup.