Answer :
To find the rate in ounces of tomato sauce per teaspoon of garlic powder, we start by understanding that Mason's recipe uses 5 ounces of tomato sauce for every [tex]\(\frac{1}{4}\)[/tex] teaspoon of garlic powder. Our goal is to find out how many ounces of tomato sauce are used for 1 whole teaspoon of garlic powder.
Steps to solve:
1. Identify the Given Ratio:
- The given ratio is 5 ounces of tomato sauce for [tex]\(\frac{1}{4}\)[/tex] teaspoon of garlic powder.
2. Understand the Problem:
- We need to determine how many ounces of tomato sauce are used per 1 teaspoon (whole teaspoon) of garlic powder.
3. Calculate the Unit Rate:
- We have 5 ounces of tomato sauce for every [tex]\(\frac{1}{4}\)[/tex] teaspoon of garlic powder.
- To find the rate per full teaspoon, we need to divide the ounces of tomato sauce by the fraction of the teaspoon:
[tex]\[
\text{Rate} = \frac{5 \text{ ounces}}{\frac{1}{4} \text{ teaspoon}}
\][/tex]
- Dividing by a fraction is equivalent to multiplying by its reciprocal. So, we multiply by 4:
[tex]\[
\text{Rate} = 5 \times 4 = 20 \text{ ounces per teaspoon}
\][/tex]
4. Conclusion:
- Mason uses 20 ounces of tomato sauce for each full teaspoon of garlic powder.
Therefore, the rate is 20 ounces of tomato sauce per teaspoon of garlic powder.
Steps to solve:
1. Identify the Given Ratio:
- The given ratio is 5 ounces of tomato sauce for [tex]\(\frac{1}{4}\)[/tex] teaspoon of garlic powder.
2. Understand the Problem:
- We need to determine how many ounces of tomato sauce are used per 1 teaspoon (whole teaspoon) of garlic powder.
3. Calculate the Unit Rate:
- We have 5 ounces of tomato sauce for every [tex]\(\frac{1}{4}\)[/tex] teaspoon of garlic powder.
- To find the rate per full teaspoon, we need to divide the ounces of tomato sauce by the fraction of the teaspoon:
[tex]\[
\text{Rate} = \frac{5 \text{ ounces}}{\frac{1}{4} \text{ teaspoon}}
\][/tex]
- Dividing by a fraction is equivalent to multiplying by its reciprocal. So, we multiply by 4:
[tex]\[
\text{Rate} = 5 \times 4 = 20 \text{ ounces per teaspoon}
\][/tex]
4. Conclusion:
- Mason uses 20 ounces of tomato sauce for each full teaspoon of garlic powder.
Therefore, the rate is 20 ounces of tomato sauce per teaspoon of garlic powder.
