Respuesta :
Note: Consider all the numeric values are in the fraction form. Like [tex]14\to \dfrac{1}{4}[/tex], [tex]23\to \dfrac{2}{3}[/tex] etc.
Given:
A recipe calls for [tex]\dfrac{1}{4}[/tex] cup of brown sugar for every [tex]\dfrac{2}{3}[/tex] cup of white sugar.
To find:
The number of cups of brown sugar that are required for every cup of white sugar.
Solution:
We know that,
Required brown sugar for [tex]\dfrac{2}{3}[/tex] cup of white sugar = [tex]\dfrac{1}{4}[/tex] cup
Using this, we get
Required brown sugar for 1 cup of white sugar = [tex]\dfrac{\dfrac{1}{4}}{\dfrac{2}{3}}[/tex] cup
[tex]=\dfrac{1}{4}\times \dfrac{3}{2}[/tex] cup
[tex]=\dfrac{3}{8}[/tex] cup
So, [tex]\dfrac{3}{8}[/tex] cup of brown sugar is required for every cup of white sugar.
Therefore, the correct option is B.
