Answer :
To solve the problem, we need to determine the total number of tablespoons and teaspoons after converting and multiplying by the given factor. Let's go through the steps:
1. Understand the initial quantities:
- We start with 7 tablespoons.
- There is also an additional 1 teaspoon.
2. Convert teaspoons to tablespoons:
- We know that 1 tablespoon is equal to 3 teaspoons. So, 1 teaspoon is equivalent to [tex]\( \frac{1}{3} \)[/tex] tablespoon.
3. Add the converted teaspoons to the initial tablespoons:
- Convert 1 teaspoon to tablespoons: [tex]\( 1 \times \frac{1}{3} = \frac{1}{3} \)[/tex] tablespoon.
- Add this to the 7 tablespoons: [tex]\( 7 + \frac{1}{3} = \frac{21}{3} + \frac{1}{3} = \frac{22}{3} \)[/tex].
4. Multiply by the given factor:
- We need to multiply the total quantity by 6:
- Total tablespoons: [tex]\( \frac{22}{3} \times 6 = \frac{132}{3} = 44 \)[/tex] tablespoons.
- Since we initially had 1 teaspoon and are multiplying everything by 6, we end up with: [tex]\( 1 \times 6 = 6 \)[/tex] teaspoons.
Therefore, after all the calculations, we have 44 tablespoons and 6 teaspoons.
1. Understand the initial quantities:
- We start with 7 tablespoons.
- There is also an additional 1 teaspoon.
2. Convert teaspoons to tablespoons:
- We know that 1 tablespoon is equal to 3 teaspoons. So, 1 teaspoon is equivalent to [tex]\( \frac{1}{3} \)[/tex] tablespoon.
3. Add the converted teaspoons to the initial tablespoons:
- Convert 1 teaspoon to tablespoons: [tex]\( 1 \times \frac{1}{3} = \frac{1}{3} \)[/tex] tablespoon.
- Add this to the 7 tablespoons: [tex]\( 7 + \frac{1}{3} = \frac{21}{3} + \frac{1}{3} = \frac{22}{3} \)[/tex].
4. Multiply by the given factor:
- We need to multiply the total quantity by 6:
- Total tablespoons: [tex]\( \frac{22}{3} \times 6 = \frac{132}{3} = 44 \)[/tex] tablespoons.
- Since we initially had 1 teaspoon and are multiplying everything by 6, we end up with: [tex]\( 1 \times 6 = 6 \)[/tex] teaspoons.
Therefore, after all the calculations, we have 44 tablespoons and 6 teaspoons.
