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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.
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.
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