Question

here are several recipes for sparkling lemonade. for each recipe describe how many table spoons of lemonade mix it takes per cup of sparkling water. REST ON THE PICTURE

Answer 1

Given:

Recipe 1: 4 tablespoons lemonade mix and 12 cups of sparkling water

Recipe 2: 4 tablespoons lemonade mix and 6 cups of sparkling water

Recipe 3: 3 tablespoons lemonade mix and 5 cups of sparkling water

Recipe 4: 1/2 tablespoons lemonade mix and 3/4 cups of sparkling water

Asked:

1) For Recipe 1, how many tablespoons lemonade mix per cup of sparkling water?

2) For Recipe 2, how many tablespoons lemonade mix per cup of sparkling water?

3) For Recipe 3, how many tablespoons lemonade mix per cup of sparkling water?

4) For Recipe 4, how many tablespoons lemonade mix per cup of sparkling water?

Solution:

1) Recipe 1

We will divide the cups by 12 to make 1 cup. Then divide 4 by 12 as well.

12 cups = 4 tablespoons

12 cups/12 cups = 4 tablespoons/12 cups

1 cup = 1/3 tablespoon per cup

2) Recipe 2

We will divide the cups by 6 to make 1 cup. Then divide 4 by 6 as well.

6 cups = 4 tablespoons

6 cups/6 cups = 4 tablespoons/6 cups

1 cup = 2/3 tablespoon per cup

3) Recipe 3

We will divide the cups by 5 to make 1 cup. Then divide 3 by 5 as well.

5 cups = 3 tablespoons

5 cups/5 cups = 3 tablespoons/5 cups

1 cup = 3/5 tablespoon per cup

4) Recipe 4

We will divide the cups by 3/4 to make 1 cup. Then divide 1/2 by 3/4 as well.

3/4 cups = 1/2 tablespoons

3/4 cups/3/4 cups = 1/2 tablespoons/3/4 cups

`\begin{gathered} ((3)/(4))/((3)/(4))=((1)/(2))/((3)/(4)) \\ 1=(1)/(2)\cdot(4)/(3) \\ 1=(4)/(6) \\ 1=(2)/(3) \end{gathered}`

1 cup = 2/3 tablespoon per cup

ANSWERS:

Recipe 1: 1/3 tablespoon per cup

Recipe 2: 2/3 tablespoon per cup

Recipe 3: 3/5 tablespoon per cup

Recipe 4: 2/3 tablespoon per cup