Answer:
Step-by-step explanation:
To determine how many cups of lemonade Sara needs to make 42 cups of punch, we need to use the ratio of lemonade to sparkling juice given in the recipe.
The ratio of lemonade to sparkling juice is
4
:
3
4:3. This ratio tells us that for every 4 parts of lemonade, there are 3 parts of sparkling juice. The total parts of the mixture is
4
+
3
=
7
4+3=7 parts.
First, we find out how many parts are in 42 cups of punch:
42
cups
7
parts
=
6
cups per part
7 parts
42 cups
=6 cups per part
Since the total mixture is divided into 7 parts and each part corresponds to 6 cups, we calculate the amount of lemonade as follows:
Each part is 6 cups, and there are 4 parts of lemonade:
4
parts
×
6
cups per part
=
24
cups
4 parts×6 cups per part=24 cups
Thus, Sara needs
24
24
cups of lemonade to make 42 cups of punch.