Question

The following is the recipe to make 6 cups of Perfect Lemonade: 1 cup sugar, 1 cup water (for the simple syrup), 1 cup lemon juice, 4 cups cold water (to dilute). You want to analyze the relationship between the number of cups of sugar and the number of cups of lemonade. Set up a proportion using the ratio of cups of sugar to cups of lemonade, write an equation for the number of cups of sugar based on the number of cups of lemonade using your proportion.

Answer 1

The proportion for sugar to lemonade from the recipe is 1:6. The equation for the number of cups of sugar needed based on the number of cups of lemonade is y = x/6, where y is cups of sugar and x is cups of lemonade.

Step-by-step explanation:

To analyze the relationship between the number of cups of sugar and the number of cups of lemonade, one can set up a proportion based on the given recipe. Since the recipe for Perfect Lemonade dictates 1 cup of sugar for making 6 cups of lemonade, the ratio of sugar to lemonade is 1:6.

To write an equation using this proportion, let x represent the number of cups of lemonade, and y represent the number of cups of sugar. The proportion can be written as:

y

/

x

= 1 / 6

Solving for y, we multiply both sides by x to get:

y

=

x

/ 6

This equation allows us to calculate the amount of sugar needed for any given amount of lemonade.