Analogy: Solve the problems by filling out the blanks. 1. 1 cup = 16 tbsp 36 tsp = _ fluid oz 2. 3 fluid oz = tbsp _ cup = 12 tsp 3. 1 ½ cup = 24 tbsp 21 tbsp = _ cup 4. 1 ⅛ cup = _ tsp
The Correct Answer and Explanation is:
Problem Breakdown and Solutions
- 36 tsp = ____ fluid oz
First, we know that 1 fluid ounce (fl oz) = 2 tablespoons (tbsp), and 1 tablespoon = 3 teaspoons (tsp). So, to convert teaspoons to fluid ounces:- 1 tbsp = 3 tsp, so 1 tsp = 1/3 tbsp.
- Therefore, 36 tsp = 36 × (1/3) tbsp = 12 tbsp.
- Since 1 fluid ounce = 2 tbsp, then 12 tbsp = 12 ÷ 2 = 6 fluid oz.
- 3 fluid oz = ___ tbsp ___ cup = 12 tsp
- First, convert fluid ounces to tablespoons:
- 1 fluid ounce = 2 tablespoons.
- So, 3 fluid ounces = 3 × 2 = 6 tablespoons.
- Now, we need to find how many tablespoons make up 12 teaspoons:
- 1 tablespoon = 3 teaspoons.
- Therefore, 12 tsp = 12 ÷ 3 = 4 tablespoons.
- Now, convert tablespoons to cups:
- 1 cup = 16 tablespoons.
- So, 4 tablespoons = 4 ÷ 16 = 1/4 cup.
- First, convert fluid ounces to tablespoons:
- 21 tbsp = ____ cup
We know that 1 cup = 16 tablespoons. To convert 21 tablespoons to cups:- 21 ÷ 16 = 1 5/16 cups.
- 1 ½ cup = ____ tsp
First, convert 1 ½ cups to tablespoons:- 1 cup = 16 tablespoons, so 1 ½ cups = 1.5 × 16 = 24 tablespoons.
- Now, convert tablespoons to teaspoons:
- 1 tablespoon = 3 teaspoons.
- Therefore, 24 tablespoons = 24 × 3 = 72 teaspoons.
Summary of Answers
- 36 tsp = 6 fluid oz
- 3 fluid oz = 6 tbsp, 1/4 cup = 12 tsp
- 21 tbsp = 1 5/16 cup
- 1 ½ cup = 72 tsp
These conversions rely on knowing the relationships between teaspoons, tablespoons, and fluid ounces, and cups, as well as being able to apply simple multiplication and division. By breaking each problem into smaller conversion steps, we can ensure that we find the correct answer.
