Answer :
To solve the problem, let's break it down step-by-step:
1. Understand the given ratio: Omar's recipe uses 4 teaspoons of toasted sesame seeds for every [tex]\(\frac{1}{3}\)[/tex] teaspoon of pepper flakes. This sets the foundation for our calculations.
2. Convert the ratio to find out how many sesame seeds are needed for [tex]\(\frac{2}{3}\)[/tex] teaspoon of pepper flakes:
- Since 4 teaspoons of sesame seeds are needed for [tex]\(\frac{1}{3}\)[/tex] teaspoon of pepper flakes, we can determine how many sesame seeds are needed for the entire teaspoon of pepper flakes.
- Multiply the entire ratio by 3 (since [tex]\(\frac{1}{3}\)[/tex] teaspoon multiplied by 3 equals 1 teaspoon) to find out that [tex]\(\frac{4 \times 3}{1} = 12\)[/tex] teaspoons of sesame seeds are needed for 1 teaspoon of pepper flakes.
3. Calculate the required sesame seeds for [tex]\(\frac{2}{3}\)[/tex] teaspoon of pepper flakes:
- Since you need 12 teaspoons of sesame seeds for a full teaspoon of pepper flakes, for [tex]\(\frac{2}{3}\)[/tex] teaspoon of pepper flakes, it will be [tex]\(12 \times \frac{2}{3} = 8\)[/tex] teaspoons of sesame seeds.
4. Find the rate of toasted sesame seeds per teaspoon of pepper flakes:
- As calculated earlier, the rate is 12 teaspoons of toasted sesame seeds required for 1 teaspoon of pepper flakes.
So, Omar needs 8 teaspoons of toasted sesame seeds for [tex]\(\frac{2}{3}\)[/tex] teaspoon of pepper flakes, and the rate is 12 teaspoons of toasted sesame seeds per teaspoon of pepper flakes.
1. Understand the given ratio: Omar's recipe uses 4 teaspoons of toasted sesame seeds for every [tex]\(\frac{1}{3}\)[/tex] teaspoon of pepper flakes. This sets the foundation for our calculations.
2. Convert the ratio to find out how many sesame seeds are needed for [tex]\(\frac{2}{3}\)[/tex] teaspoon of pepper flakes:
- Since 4 teaspoons of sesame seeds are needed for [tex]\(\frac{1}{3}\)[/tex] teaspoon of pepper flakes, we can determine how many sesame seeds are needed for the entire teaspoon of pepper flakes.
- Multiply the entire ratio by 3 (since [tex]\(\frac{1}{3}\)[/tex] teaspoon multiplied by 3 equals 1 teaspoon) to find out that [tex]\(\frac{4 \times 3}{1} = 12\)[/tex] teaspoons of sesame seeds are needed for 1 teaspoon of pepper flakes.
3. Calculate the required sesame seeds for [tex]\(\frac{2}{3}\)[/tex] teaspoon of pepper flakes:
- Since you need 12 teaspoons of sesame seeds for a full teaspoon of pepper flakes, for [tex]\(\frac{2}{3}\)[/tex] teaspoon of pepper flakes, it will be [tex]\(12 \times \frac{2}{3} = 8\)[/tex] teaspoons of sesame seeds.
4. Find the rate of toasted sesame seeds per teaspoon of pepper flakes:
- As calculated earlier, the rate is 12 teaspoons of toasted sesame seeds required for 1 teaspoon of pepper flakes.
So, Omar needs 8 teaspoons of toasted sesame seeds for [tex]\(\frac{2}{3}\)[/tex] teaspoon of pepper flakes, and the rate is 12 teaspoons of toasted sesame seeds per teaspoon of pepper flakes.
