High School

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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, we start by converting the [tex]\(\frac{1}{4}\)[/tex] cup of broth into tablespoons and then convert those tablespoons into teaspoons.

1. First, recall that there are 16 tablespoons in 1 cup. Thus,
[tex]$$
\frac{1}{4} \text{ cup} \times \frac{16 \text{ tablespoons}}{1 \text{ cup}} = 4 \text{ tablespoons}.
$$[/tex]

2. Next, we know that there are 3 teaspoons in 1 tablespoon. Therefore,
[tex]$$
4 \text{ tablespoons} \times \frac{3 \text{ teaspoons}}{1 \text{ tablespoon}} = 12 \text{ teaspoons}.
$$[/tex]

Tabitha should use [tex]\(\boxed{12}\)[/tex] teaspoons of broth.

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