Respuesta :
For 10 servings we have [tex](\frac{1}{4} )[/tex] cup flour , Correct option A) .
Step-by-step explanation:
Here we have , A recipe that yields 30 servings calls for 3/4 cup flour. You want to prepare only 10 servings. We need to find that After scaling the recipe to yield 10 servings, how much flour will you need? Let's find out:
We have , a recipe , yields 30 servings calls for 3/4 cup flour . So for 1 servings we have :
⇒ [tex]\frac{1}{30} (\frac{3}{4} )[/tex]
⇒ [tex]\frac{1}{40}[/tex] , For 1 servings we have [tex]\frac{1}{40}[/tex] cup flour . Now , for 10 servings we have :
⇒ [tex]10(\frac{1}{40} )[/tex]
⇒ [tex](\frac{10}{40} )[/tex]
⇒ [tex](\frac{10}{4(10)} )[/tex]
⇒ [tex](\frac{1}{4} )[/tex]
Therefore, For 10 servings we have [tex](\frac{1}{4} )[/tex] cup flour , Correct option A) .
Based on the number of servings that can be made from 3/4 cups, the number of cups needed for 10 servings is 1/4 cups.
First find the number of servings that can be made per cup:
= Number of servings / Number of cups
= 30 ÷ 3/4
= 30 x 4/3
= 40 servings
To get 10 servings therefore, you would need:
= Number of servings needed / Number of servings per cup
= 10 / 40
= 1/4 cups
In conclusion, 1/4 cup is needed.
Find out more on such measurements at https://brainly.com/question/2542573.