High School

Given that 3 teaspoons = 1 tablespoon and 4 tablespoons = 0.25 cup, 2 cups is equal to how many teaspoons?

A. 102 teaspoons
B. 86 teaspoons
C. None
D. 96 teaspoons

Answer :

To determine how many teaspoons are equivalent to 2 cups, we can use the provided conversion factors step-by-step:

1. Conversion from Cups to Tablespoons:
- We know that 4 tablespoons are equivalent to 0.25 (or 1/4) cup.
- Since 1 cup is four times 0.25 cup, it means there are 4 sets of those 4 tablespoons in 1 cup.
- Therefore, 1 cup equals [tex]\(4 \times 4 = 16\)[/tex] tablespoons.

2. Converting 2 Cups to Tablespoons:
- If 1 cup is 16 tablespoons, then 2 cups would be [tex]\(2 \times 16 = 32\)[/tex] tablespoons.

3. Conversion from Tablespoons to Teaspoons:
- We know that 1 tablespoon is equal to 3 teaspoons.
- Therefore, 32 tablespoons would be [tex]\(32 \times 3 = 96\)[/tex] teaspoons.

So, 2 cups is equal to 96 teaspoons. Therefore, the correct answer is 96 teaspoons.