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------------------------------------------------ For each recipe, determine how many tablespoons of lemonade mix it takes per cup of sparkling water.

a. 4 tablespoons of lemonade mix and 12 cups of sparkling water
b. 4 tablespoons of lemonade mix and 6 cups of sparkling water
c. 3 tablespoons of lemonade mix and 5 cups of sparkling water
d. [tex]\frac{1}{2}[/tex] tablespoon of lemonade mix and [tex]\frac{3}{4}[/tex] cup of sparkling water

Answer :

Certainly! Let's go through each recipe to determine how many tablespoons of lemonade mix it takes per cup of sparkling water.

a. Recipe a:
- You have 4 tablespoons of lemonade mix and 12 cups of sparkling water.
- To find how many tablespoons per cup, divide the tablespoons by the cups:
[tex]\[
\text{Tablespoons per cup} = \frac{4 \text{ tablespoons}}{12 \text{ cups}} = 0.3333
\][/tex]
So, for this recipe, it takes approximately 0.3333 tablespoons of lemonade mix per cup of sparkling water.

b. Recipe b:
- You have 4 tablespoons of lemonade mix and 6 cups of sparkling water.
- To find how many tablespoons per cup, divide the tablespoons by the cups:
[tex]\[
\text{Tablespoons per cup} = \frac{4 \text{ tablespoons}}{6 \text{ cups}} = 0.6667
\][/tex]
So, for this recipe, it takes approximately 0.6667 tablespoons of lemonade mix per cup of sparkling water.

c. Recipe c:
- You have 3 tablespoons of lemonade mix and 5 cups of sparkling water.
- To find how many tablespoons per cup, divide the tablespoons by the cups:
[tex]\[
\text{Tablespoons per cup} = \frac{3 \text{ tablespoons}}{5 \text{ cups}} = 0.6
\][/tex]
So, for this recipe, it takes 0.6 tablespoons of lemonade mix per cup of sparkling water.

d. Recipe d:
- You have [tex]\(\frac{1}{2}\)[/tex] tablespoon of lemonade mix and [tex]\(\frac{3}{4}\)[/tex] cups of sparkling water.
- To find how many tablespoons per cup, divide the tablespoons by the cups:
[tex]\[
\text{Tablespoons per cup} = \frac{\frac{1}{2} \text{ tablespoon}}{\frac{3}{4} \text{ cups}} = 0.6667
\][/tex]
So, for this recipe, it takes approximately 0.6667 tablespoons of lemonade mix per cup of sparkling water.

These calculations give you a precise understanding of how much lemonade mix is needed per cup of sparkling water for each recipe!