Arecipe calls for one half cup of ingredient a for every 1 and two thirds cups of ingredient b. you use 4 cups of ingredient a. how many cups of ingredient b do you? need?

cups

Step-by-step explanation:

We are told that a recipe calls for one half cup of ingredient A for every 1 and two thirds cups of ingredient B.      

To find the number of cups of ingredient B we will use proportions.

Now let us substitute our amount of Ingredient A =4 in our proportions.

Multiplying both sides of our equation by 4.

Therefore, we need cups of ingredient B to make our recipe.

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x