Final answer:
To find the total amount of sugar, convert 3/4 cup and 1/3 cup to a common denominator and add them together, resulting in 13/12 cups or 1 1/12 cups of sugar.
Step-by-step explanation:
The student is asking how to find the total amount of sugar needed for a recipe by adding two fractions. To solve this, you can use a mathematical model involving the addition of fractions. The fractions in this case are 3/4 cup of white sugar and 1/3 cup of cane sugar. To add these fractions together, you will want to find a common denominator, which is 12 in this case.
Convert each fraction to have the common denominator of 12:
Now, add the two fractions:
9/12 + 4/12 = 13/12 cups
Therefore, the total amount of sugar needed for the recipe is 13/12 cups, which is also equal to 1 1/12 cups when converted to a mixed number.