Answer :
Sure! Let's break down the steps to solve the problem:
1. Understanding the Problem:
- We have a family recipe that requires 4 teaspoons of toasted sesame seeds for every [tex]\(\frac{1}{3}\)[/tex] teaspoon of pepper flakes.
2. Find the Unit Rate:
- First, we need to find out how many teaspoons of sesame seeds are used per one teaspoon of pepper flakes.
- Since the recipe calls for 4 teaspoons of sesame seeds per [tex]\(\frac{1}{3}\)[/tex] teaspoon of pepper flakes, you can calculate the rate by dividing the amount of sesame seeds by the amount of pepper flakes.
- Doing this, we get:
[tex]\[
\text{Rate} = \frac{4 \text{ teaspoons of sesame seeds}}{\frac{1}{3} \text{ teaspoon of pepper flakes}}
\][/tex]
- To divide by a fraction, invert the fraction and multiply:
[tex]\[
\text{Rate} = 4 \times 3 = 12
\][/tex]
- So, the unit rate is 12 teaspoons of toasted sesame seeds per one teaspoon of pepper flakes.
3. Calculate for [tex]\(\frac{2}{3}\)[/tex] Teaspoon of Pepper Flakes:
- Now, we want to find out how many teaspoons of sesame seeds are needed for [tex]\(\frac{2}{3}\)[/tex] teaspoon of pepper flakes.
- We use the unit rate we calculated: 12 teaspoons of sesame seeds per teaspoon of pepper flakes.
- Multiply this rate by the desired amount of pepper flakes:
[tex]\[
\text{Sesame seeds needed} = 12 \times \frac{2}{3}
\][/tex]
- Simplify the multiplication:
[tex]\[
\text{Sesame seeds needed} = 12 \times \frac{2}{3} = 8
\][/tex]
- Omar needs 8 teaspoons of toasted sesame seeds for [tex]\(\frac{2}{3}\)[/tex] teaspoon of pepper flakes.
4. Conclusion:
- Omar needs 8 teaspoons of toasted sesame seeds for [tex]\(\frac{2}{3}\)[/tex] teaspoon of pepper flakes.
- The rate is 12 teaspoons of toasted sesame seeds per teaspoon of pepper flakes.
1. Understanding the Problem:
- We have a family recipe that requires 4 teaspoons of toasted sesame seeds for every [tex]\(\frac{1}{3}\)[/tex] teaspoon of pepper flakes.
2. Find the Unit Rate:
- First, we need to find out how many teaspoons of sesame seeds are used per one teaspoon of pepper flakes.
- Since the recipe calls for 4 teaspoons of sesame seeds per [tex]\(\frac{1}{3}\)[/tex] teaspoon of pepper flakes, you can calculate the rate by dividing the amount of sesame seeds by the amount of pepper flakes.
- Doing this, we get:
[tex]\[
\text{Rate} = \frac{4 \text{ teaspoons of sesame seeds}}{\frac{1}{3} \text{ teaspoon of pepper flakes}}
\][/tex]
- To divide by a fraction, invert the fraction and multiply:
[tex]\[
\text{Rate} = 4 \times 3 = 12
\][/tex]
- So, the unit rate is 12 teaspoons of toasted sesame seeds per one teaspoon of pepper flakes.
3. Calculate for [tex]\(\frac{2}{3}\)[/tex] Teaspoon of Pepper Flakes:
- Now, we want to find out how many teaspoons of sesame seeds are needed for [tex]\(\frac{2}{3}\)[/tex] teaspoon of pepper flakes.
- We use the unit rate we calculated: 12 teaspoons of sesame seeds per teaspoon of pepper flakes.
- Multiply this rate by the desired amount of pepper flakes:
[tex]\[
\text{Sesame seeds needed} = 12 \times \frac{2}{3}
\][/tex]
- Simplify the multiplication:
[tex]\[
\text{Sesame seeds needed} = 12 \times \frac{2}{3} = 8
\][/tex]
- Omar needs 8 teaspoons of toasted sesame seeds for [tex]\(\frac{2}{3}\)[/tex] teaspoon of pepper flakes.
4. Conclusion:
- Omar needs 8 teaspoons of toasted sesame seeds for [tex]\(\frac{2}{3}\)[/tex] teaspoon of pepper flakes.
- The rate is 12 teaspoons of toasted sesame seeds per teaspoon of pepper flakes.
