Question

A recipe suggests a mixture of 3 tablespoons of sugar with ( 2/5 ) of a cup of vegetable oil. If you want to use 5 tbsp of sugar, how much vegetable oil will you need to use? Solve using Scaling:

A. ( 5/3 )
B. ( 3/5 )
C. ( 5/2 )
D. ( 2/5 )

Answer 1

To scale the recipe to use 5 tablespoons of sugar, the equivalent amount of vegetable oil needed would be 5/3 cups. Thus the correct answer is (A).

Step-by-step explanation:

The original recipe ratio is 3 tablespoons of sugar to 2/5 cup of vegetable oil. To scale up the amount of sugar from 3 tablespoons to 5 tablespoons, a proportionate increase is needed for the vegetable oil. Setting up a proportion: 3 tbsp sugar/ 2/5 cup oil = 5 tbsp sugar /x cup oil. Solving for x yield. x =5/3 cups of vegetable oil needed when using 5 tablespoons of sugar.

Scaling recipes involves maintaining the original ratio of ingredients. In this case, when increasing the sugar amount from 3 to 5 tablespoons, the ratio of sugar to vegetable oil should remain constant. Utilizing the concept of proportions helps determine the corresponding quantity of vegetable oil required when altering the amount of sugar used in the recipe.

By setting up a proportion using the given ratio of sugar to vegetable oil from the original recipe and the desired increase in sugar, the equivalent quantity of vegetable oil required when using 5 tablespoons of sugar is found to be 5/3 cups. This method ensures that the revised ingredients maintain the same ratio as the original recipe, resulting in a properly scaled recipe. Thus the correct answer is (A) 5/3 cups.