To find the total amount of ingredients in Dean's recipe, we set up a proportion based on the given 65% and solve for the total, which after rounding gives us 3 cups.
To solve the question, we can use the concept of percentages to find the whole amount of ingredients in Dean's recipe. Since we know that 2 cups of sugar represent 65% of the recipe, we can set up a simple proportion to find the total number of cups equivalent to 100% of the recipe.
Let x be the total number of cups in the recipe. Using the proportion method, we can express this relationship as:
65% of x = 2 cups.
Therefore, 0.65x = 2 cups.
To find the value of x, we divide both sides by 0.65:
x = 2 cups / 0.65
x = 3.0769 cups
Rounding to the nearest whole number, the total number of cups in Dean's recipe is approximately 3 cups.
Dean has 2 cups of sugar which is 65% of his cookie recipe. The total number of cups in the whole recipe, rounded to the nearest whole number, is 3 cups.
By using the percentage of the recipe that the 2 cups of sugar represent, we create a proportion to find the total quantity of the recipe. We express the 65% as a decimal (0.65) and set up an equation where 0.65 times the total quantity equals 2 cups. Solving for the total quantity, we divide 2 cups by 0.65, yielding about 3.0769 cups. Considering practical kitchen measurements, we round this number to the nearest whole number, hence concluding the total ingredients to be about 3 cups.
The calculation involves the use of basic percentage and proportion principles to find the total number of cups in the recipe. After rounding, Dean's full recipe requires approximately 3 cups of ingredients.