Jane altered by using 3/4 of the amount of butter called for the recipe.Jane used 6 tablespoons of butter How many cups of butter did the recipe call for?

Answer: The correct option is (C) [tex]\dfrac{1}{2}.[/tex]
Step-by-step explanation: Given that Jane altered by using [tex]\dfrac{3}{4}[/tex] of the amount of butter called for the recipe and she used 6 tablespoons of butter.
We are to find the number of cups of butter that the recipe call for.
Let x represents the total number of teaspoons of butter that the recipe call for.
Then, according to the given information, we have
[tex]\dfrac{3}{4}x=6\\\\\Rightarrow 3x=24\\\\\Rightarrow x=8.[/tex]
So, the total number of tablespoons of butter that the recipe call for is 8.
Now, 16 tablespoons = 1 cup.
Therefore, we get
[tex]8~\textup{tablespoons}=\dfrac{1}{16}\times 8=\dfrac{1}{2}~\textup{cups}.[/tex]
Thus, the recipe call for [tex]\dfrac{1}{2}[/tex] cup of butter.
Option (C) is CORRECT.