College

A recipe calls for [tex]$\frac{1}{4}$[/tex] cup of broth.

The largest volume-measuring tool that Tabitha has is a teaspoon. There are 16 tablespoons in 1 cup and 3 teaspoons in 1 tablespoon. How many teaspoons are needed?

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 determining how many teaspoons are equivalent to [tex]\(\frac{1}{4}\)[/tex] cup of broth, we'll break it down into a couple of simple conversion steps:

1. Convert cups to tablespoons:
- We know that there are 16 tablespoons in 1 cup.
- So for [tex]\(\frac{1}{4}\)[/tex] cup, we calculate the number of tablespoons by multiplying:
[tex]\[
\text{Tablespoons} = \frac{1}{4} \times 16 = 4 \text{ tablespoons}
\][/tex]

2. Convert tablespoons to teaspoons:
- There are 3 teaspoons in 1 tablespoon.
- So we multiply the number of tablespoons by 3 to find how many teaspoons there are:
[tex]\[
\text{Teaspoons} = 4 \times 3 = 12 \text{ teaspoons}
\][/tex]

Therefore, [tex]\(\frac{1}{4}\)[/tex] cup is equivalent to 12 teaspoons.