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?

Jane altered by using 34 of the amount of butter called for the recipeJane used 6 tablespoons of butter How many cups of butter did the recipe call for class=

Respuesta :

Jane has only used 3/4 of the required amount.
the amount she used is 6 tablespoons.
This means that 6 tablespoons is equivalent to 3/4
                                               
4/4 is 1 whole                                                                     
3/4 --> 6                                                                            
1/4 --->6/3                                                                       
4/4 --> 6/3 x 4 = 8 tablespoons                                                                     
we are told that 16 tablespoons is 1 cup                             
then 1 tablespoon is - 1/16 cups                               
therefore 8 tablespoons - 1/16 x 8 = 1/2 cup
                   
answer is C. 1/2 cup

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.