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]\(\frac{1}{2}\)[/tex] cup [tex]\(= \square\)[/tex] tablespoons

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

Answer :

Sure! Let's work through this problem step by step:

1. Determine how many tablespoons are in [tex]\(\frac{1}{2}\)[/tex] cup:

- We know from the problem that there are 16 tablespoons in 1 cup.
- To find out how many tablespoons are in [tex]\(\frac{1}{2}\)[/tex] cup, we simply take half of the number of tablespoons in a full cup.
- [tex]\(\frac{1}{2} \times 16 = 8\)[/tex]

Therefore, [tex]\(\frac{1}{2}\)[/tex] cup is equal to 8 tablespoons.

2. Convert 8 tablespoons to teaspoons:

- The problem states that there are 3 teaspoons in 1 tablespoon.
- To find out how many teaspoons are in 8 tablespoons, we'll multiply the number of tablespoons by the number of teaspoons per tablespoon.
- [tex]\(8 \times 3 = 24\)[/tex]

Thus, 8 tablespoons is equal to 24 teaspoons.

In summary:
- [tex]\(\frac{1}{2}\)[/tex] cup is equal to 8 tablespoons.
- 8 tablespoons is equal to 24 teaspoons.