Answer :
Let's solve the problem by finding the amount of sparkling water used per tablespoon of lemonade mix for each recipe. Here's how you can calculate it:
a. Recipe a:
- Ingredients: 4 tablespoons of lemonade mix and 12 cups of sparkling water.
- To find the amount of water per tablespoon, divide the number of cups of water by the number of tablespoons of mix:
[tex]\[
\frac{12 \text{ cups of water}}{4 \text{ tablespoons of mix}} = 3
\][/tex]
- This means there are 3 cups of sparkling water for each tablespoon of lemonade mix.
b. Recipe b:
- Ingredients: 4 tablespoons of lemonade mix and 6 cups of sparkling water.
- Divide the number of cups of water by the number of tablespoons of mix:
[tex]\[
\frac{6 \text{ cups of water}}{4 \text{ tablespoons of mix}} = 1.5
\][/tex]
- This means there are 1.5 cups of sparkling water for each tablespoon of lemonade mix.
c. Recipe c:
- Ingredients: 3 tablespoons of lemonade mix and 5 cups of sparkling water.
- Divide the number of cups of water by the number of tablespoons of mix:
[tex]\[
\frac{5 \text{ cups of water}}{3 \text{ tablespoons of mix}} = 1.67
\][/tex]
- This means there are approximately 1.67 cups of sparkling water for each tablespoon of lemonade mix.
d. Recipe d:
- Ingredients: [tex]\(\frac{1}{2}\)[/tex] tablespoon of lemonade mix and [tex]\(\frac{3}{4}\)[/tex] cups of sparkling water.
- Divide the number of cups of water by the number of tablespoons of mix:
[tex]\[
\frac{\frac{3}{4} \text{ cups of water}}{\frac{1}{2} \text{ tablespoon of mix}} = 1.5
\][/tex]
- This means there are 1.5 cups of sparkling water for each tablespoon of lemonade mix.
This gives us the amount of sparkling water used per tablespoon of lemonade mix for each recipe.
a. Recipe a:
- Ingredients: 4 tablespoons of lemonade mix and 12 cups of sparkling water.
- To find the amount of water per tablespoon, divide the number of cups of water by the number of tablespoons of mix:
[tex]\[
\frac{12 \text{ cups of water}}{4 \text{ tablespoons of mix}} = 3
\][/tex]
- This means there are 3 cups of sparkling water for each tablespoon of lemonade mix.
b. Recipe b:
- Ingredients: 4 tablespoons of lemonade mix and 6 cups of sparkling water.
- Divide the number of cups of water by the number of tablespoons of mix:
[tex]\[
\frac{6 \text{ cups of water}}{4 \text{ tablespoons of mix}} = 1.5
\][/tex]
- This means there are 1.5 cups of sparkling water for each tablespoon of lemonade mix.
c. Recipe c:
- Ingredients: 3 tablespoons of lemonade mix and 5 cups of sparkling water.
- Divide the number of cups of water by the number of tablespoons of mix:
[tex]\[
\frac{5 \text{ cups of water}}{3 \text{ tablespoons of mix}} = 1.67
\][/tex]
- This means there are approximately 1.67 cups of sparkling water for each tablespoon of lemonade mix.
d. Recipe d:
- Ingredients: [tex]\(\frac{1}{2}\)[/tex] tablespoon of lemonade mix and [tex]\(\frac{3}{4}\)[/tex] cups of sparkling water.
- Divide the number of cups of water by the number of tablespoons of mix:
[tex]\[
\frac{\frac{3}{4} \text{ cups of water}}{\frac{1}{2} \text{ tablespoon of mix}} = 1.5
\][/tex]
- This means there are 1.5 cups of sparkling water for each tablespoon of lemonade mix.
This gives us the amount of sparkling water used per tablespoon of lemonade mix for each recipe.
