High School

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Devon knows that there are 3 teaspoons (tsp) in 1 tablespoon (tbsp). His cookie recipe calls for 6 tbsp of honey.

Which expressions can be used to find the number of tsp in 6 tbsp?

A. 6 tbsp [tex]\times \frac{1 \text{ tsp }}{3 \text{ tbsp }}[/tex]

B. 6 tbsp [tex]\times \frac{3 \text{ tsp }}{1 \text{ tbsp }}[/tex]

C. 3 tsp [tex]\times \frac{1 \text{ tsp }}{6 \text{ tbsp }}[/tex]

D. 3 tsp [tex]\times \frac{6 \text{ tbsp }}{1 \text{ tsp }}[/tex]

Answer :

To find the number of teaspoons (tsp) in 6 tablespoons (tbsp), follow these steps:

1. Start with the given conversion factor: There are 3 teaspoons in 1 tablespoon.

2. Devon’s cookie recipe calls for 6 tablespoons of honey.

3. To find out how many teaspoons this equals, you need to multiply the number of tablespoons by the conversion factor (since there are 3 teaspoons in each tablespoon).

Here’s how we do it step-by-step:

1. Write down the conversion factor: [tex]\( 1 \text{ tbsp} = 3 \text{ tsp} \)[/tex].

2. Multiply the number of tablespoons by the conversion factor:
[tex]\[
6 \text{ tbsp} \times \frac{3 \text{ tsp}}{1 \text{ tbsp}}
\][/tex]

3. This results in:
[tex]\[
6 \text{ tbsp} \times 3 \text{ tsp/tbsp} = 18 \text{ tsp}
\][/tex]

So, [tex]\( 6 \text{ tbsp} \)[/tex] is equal to [tex]\( 18 \text{ tsp} \)[/tex].

Now, looking at the given expressions, the correct one to use would be:

[tex]\[
6 \text{ tbsp} \times \frac{3 \text{ tsp}}{1 \text{ tbsp}}
\][/tex]

Hence, the correct answer is that this expression can be used to find the number of teaspoons in 6 tablespoons. The other expressions presented do not correctly apply the conversion factor in a way that leads to the correct solution.

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Rewritten by : Barada