College

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 Tabitha's problem of measuring [tex]\(\frac{1}{4}\)[/tex] cup of broth using only teaspoons, we need to convert the volume from cups to teaspoons step by step. Here's how you can do it:

1. Understand the conversions:
- 1 cup = 16 tablespoons
- 1 tablespoon = 3 teaspoons

2. Convert cups to tablespoons:
- Since the recipe calls for [tex]\(\frac{1}{4}\)[/tex] cup, we first need to find out how many tablespoons that is:
[tex]\[
\frac{1}{4} \text{ cup} = \frac{1}{4} \times 16 = 4 \text{ tablespoons}
\][/tex]

3. Convert tablespoons to teaspoons:
- Next, we convert the 4 tablespoons to teaspoons:
[tex]\[
4 \text{ tablespoons} = 4 \times 3 = 12 \text{ teaspoons}
\][/tex]

Therefore, Tabitha should use 12 teaspoons of broth.