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A recipe calls for [tex]\frac{1}{4}[/tex] cup of broth. The largest volume-measuring tool that Tabitha has is a teaspoon. She knows that there are 16 tablespoons in 1 cup and 3 teaspoons in 1 tablespoon. How many teaspoons of broth should she use?

A. [tex]1 \frac{1}{3}[/tex] teaspoons
B. 12 teaspoons
C. 19 teaspoons
D. [tex]21 \frac{1}{3}[/tex] teaspoons

Answer :

To solve the problem of how many teaspoons of broth Tabitha should use, let's break it down step-by-step:

1. Understand the Volume Measurements:
- The recipe requires [tex]\(\frac{1}{4}\)[/tex] cup of broth.
- We know that there are 16 tablespoons in 1 cup.
- Additionally, there are 3 teaspoons in 1 tablespoon.

2. Convert Cups to Tablespoons:
- Since the recipe calls for [tex]\(\frac{1}{4}\)[/tex] cup, we need to figure out how many tablespoons are equivalent to [tex]\(\frac{1}{4}\)[/tex] cup.
- Multiplying [tex]\(\frac{1}{4}\)[/tex] by 16 (since 1 cup = 16 tablespoons), we get:
[tex]\[
\frac{1}{4} \times 16 = 4 \text{ tablespoons}
\][/tex]

3. Convert Tablespoons to Teaspoons:
- Now, convert these 4 tablespoons into teaspoons.
- Since 1 tablespoon equals 3 teaspoons, multiplying 4 tablespoons by 3 gives:
[tex]\[
4 \times 3 = 12 \text{ teaspoons}
\][/tex]

Therefore, Tabitha should use 12 teaspoons of broth to match [tex]\(\frac{1}{4}\)[/tex] cup as called for in the recipe.

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