Question

A recipe says it produced the best sweet tea. In addition to using tea bags, the recipe calls for ½ cup of sugar for every 1 ½ cups of water. Write an equation that shows the relationship between the number of cups of water in this recipe. Let s represent the number of cups of sugar, and let w represent the number of cups of water.

Answer 1

Answer:

The relationship between the number of cups of water and sugar  in the recipe is w = ¹/₃(s)

Step-by-step explanation:

Given;

number of cups of sugar = s

number of cups of water = w

The relationship between the number of cups of water and sugar in this recipe is given as;

½ cup of sugar is proportional to 1 ½ cups of water

$\frac{1}{2} s = \frac{3}{2}w\\\\s= 3w\\\\w = \frac{s}{3}$

Therefore, the relationship between the number of cups of water and sugar  in the recipe is w = ¹/₃(s)

Answer 2

Answer:

s=1/3w

Step-by-step explanation:

This is because:

1 1/2 cups water

1/2 cup sugar

1/2 is 1/3 of 1 1/2

Therefore, the fitting equation is s=1/3w