High School

There are 16 tablespoons in 1 cup and 3 teaspoons in 1 tablespoon. A recipe calls for [tex]\frac{1}{2}[/tex] cup of sugar, but Ali only has a teaspoon to measure her ingredients.

1. How many tablespoons are in [tex]\frac{1}{2}[/tex] cup?
[tex]\frac{1}{2} \text{ cup} = 8 \text{ tablespoons}[/tex]

2. How many teaspoons are in 8 tablespoons?
8 tablespoons = [tex]\square[/tex] teaspoons

Answer :

Sure! Let's break down the problem step by step:

1. Conversion from cups to tablespoons: We're given that there are 16 tablespoons in 1 cup. Since the recipe calls for [tex]\( \frac{1}{2} \)[/tex] cup of sugar, we need to find out how many tablespoons are in [tex]\( \frac{1}{2} \)[/tex] cup.

[tex]\[
\frac{1}{2} \text{ cup} = \frac{1}{2} \times 16 \text{ tablespoons} = 8 \text{ tablespoons}
\][/tex]

So, [tex]\( \frac{1}{2} \)[/tex] cup of sugar is equivalent to 8 tablespoons.

2. Conversion from tablespoons to teaspoons: Now we know that 1 tablespoon is equal to 3 teaspoons. We need to determine how many teaspoons are in 8 tablespoons.

[tex]\[
8 \text{ tablespoons} = 8 \times 3 \text{ teaspoons} = 24 \text{ teaspoons}
\][/tex]

Therefore, 8 tablespoons are equivalent to 24 teaspoons.

So, if Ali wants to measure [tex]\( \frac{1}{2} \)[/tex] cup of sugar using only a teaspoon, she will need 24 teaspoons.