Answer:
1 cup of white sugar is mixed with [tex]\frac{3}{8}[/tex] cups of brown sugar.
Step-by-step explanation:
A recipe calls for [tex]\frac{1}{4}[/tex] cup of brown sugar for every [tex]\frac{2}{3}[/tex] cup of white sugar.
As the ratio of brown sugar to white sugar remains the same, we can use the unitary method.
Therefore, [tex]\frac{2}{3}[/tex] cups of white sugar is mixed with [tex]\frac{1}{4}[/tex] cups of brown sugar.
So, 1 cup of white sugar is mixed with [tex]\frac{1}{4} \div \frac{2}{3} = \frac{3}{8}[/tex] cups of brown sugar. (Answer)