Question

A recipe calls for 14cup of brown sugar for every 23cup of white sugar. How many cups of brown sugar are required for every cup of white sugar? 1Points A 18cup of brown sugar B 38cup of brown sugar C 14cup of brown sugar D 34cup of brown sugar

Answer 1

Note: Consider all the numeric values are in the fraction form. Like $14\to \dfrac{1}{4}$, $23\to \dfrac{2}{3}$ etc.

Given:

A recipe calls for $\dfrac{1}{4}$ cup of brown sugar for every $\dfrac{2}{3}$ 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 $\dfrac{2}{3}$ cup of white sugar =  $\dfrac{1}{4}$ cup

Using this, we get

Required brown sugar for 1 cup of white sugar =  $\dfrac{\dfrac{1}{4}}{\dfrac{2}{3}}$ cup

                                                                              $=\dfrac{1}{4}\times \dfrac{3}{2}$ cup

                                                                              $=\dfrac{3}{8}$ cup

So, $\dfrac{3}{8}$ cup of brown sugar is required for every cup of white sugar.

Therefore, the correct option is B.