Question

a recipe calls for 1/4 cup of brown sugar for every 2/3 cup of white sugar how many cups of brown sugar is required for very cup of white sugar

Answer 1

1 cup of white sugar is mixed with
`(3)/(8)` cups of brown sugar.

Explanation:

A recipe calls for
`(1)/(4)` cup of brown sugar for every
`(2)/(3)` cup of white sugar.

As the ratio of brown sugar to white sugar remains the same, we can use the unitary method.

Therefore,
`(2)/(3)` cups of white sugar is mixed with
`(1)/(4)` cups of brown sugar.

So, 1 cup of white sugar is mixed with
`(1)/(4) / (2)/(3) = (3)/(8)` cups of brown sugar. (Answer)