College

Mason makes homemade pizza sauce. The recipe calls for 5 ounces of tomato sauce for every [tex]$\frac{1}{4}$[/tex] teaspoon of garlic powder.

What is the rate in ounces of tomato sauce per teaspoon of garlic powder that Mason uses?

___ oz of tomato sauce per tsp of garlic powder

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.