Question

a recipe calls for 3/4 cup of brown sugar for each 2/3 cup white sugar how many cup of brown sugar per cup of white sugar

Answer 1

For each cup of white sugar, 1 ®/₈ cups of brown sugar are needed, as determined by setting up a proportion using the original recipe that calls for ⅓ cup of white sugar to ¾ cup of brown sugar.

Step-by-step explanation:

To determine the amount of brown sugar needed per cup of white sugar, we set up a proportion based on the recipe's requirement that calls for ⅓ cup (white sugar) to ¾ cup (brown sugar). To find out how much brown sugar is needed per 1 cup of white sugar, we solve the following proportion:

¾ cup brown sugar / ⅓ cup white sugar = x cup brown sugar / 1 cup white sugar

To solve for x, we cross multiply:

(¾) * 1 = (⅓) * x

Now, we find x:

x = (¾) * (3/2)

x = 9/8

x = 1 ®/₈ cups of brown sugar

Therefore, for every cup of white sugar, you will need 1 ®/₈ cups of brown sugar in the recipe.

Answer 2

8/9 cups of white sugar

Step-by-step explanation:

fraction division- flip one of the fractions and then multiply them (keep, change, flip)

4/3×2/3=8/9