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While making desserts for a bake sale, Florence used 11/12 of a scoop of brown sugar as well as 1/6 of a scoop of white sugar. How much more brown sugar did Florence use?

Question

While making desserts for a bake sale, Florence used 11/12 of a scoop of brown sugar as well as 1/6 of a scoop of white sugar. How much more brown sugar did Florence use?

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Solution

To find out how much more brown sugar Florence used, we need to subtract the amount of white sugar she used from the amount of brown sugar she used.

Step 1: Identify the amount of brown sugar and white sugar used.

  • Brown sugar = 11/12 scoop
  • White sugar = 1/6 scoop

Step 2: To subtract fractions, they must have the same denominator. In this case, the least common denominator between 12 and 6 is 12. The fraction 1/6 needs to be converted to have 12 as the denominator.

Step 3: Convert 1/6 to ?/12. To do this, multiply both the numerator and the denominator by 2. This gives us 2/12.

Step 4: Now, subtract the amount of white sugar (2/12 scoop) from the amount of brown sugar (11/12 scoop).

11/12 - 2/12 = 9/12

Step 5: Simplify the fraction 9/12 by dividing both the numerator and the denominator by their greatest common divisor, which is 3.

9 ÷ 3 / 12 ÷ 3 = 3/4

So, Florence used 3/4 of a scoop more brown sugar than white sugar.

This problem has been solved

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