Question

If you add 1/2 cup of creamer (20% butterfat) to 2 cups of coffee, how many cups result and what is the percent butterfat of the mixture?

a) 2 1/2 cups, 16% butterfat
b) 2 1/2 cups, 15% butterfat
c) 2 1/4 cups, 18% butterfat
d) 2 1/4 cups, 16% butterfat

Answer 1

After adding 1/2 cup of creamer with 20% butterfat to 2 cups of coffee, you get 2 1/2 cups of the mixture. Calculating for the percentage of butterfat in the mixture, you end up with 4% butterfat which does not align with any of the provided answer choices.

Step-by-step explanation:

To find the total number of cups resulting from adding 1/2 cup of creamer to 2 cups of coffee, we simply add these volumes together:

2 cups of coffee + 1/2 cup of creamer = 2 + 1/2 = 2 1/2 cups

Next, we calculate the butterfat percentage in the mixture. The creamer is 20% butterfat, so in 1/2 cup of creamer, we have (1/2 cup) × (20%) butterfat, which equals 0.1 cups of butterfat. Since coffee has no butterfat, it contributes 0 cups of butterfat to the mixture.

Total butterfat in the mixture = 0.1 cups (from the creamer)

To calculate the percentage of butterfat in the 2 1/2 cups of mixture, we use the formula:

(Total butterfat in mixture / Total mixture volume) × 100

Percent butterfat = (0.1 cups / 2.5 cups) × 100 = 4% butterfat

However, no answer choice matches this calculation; this suggests there may be an error in the given answer choices or that we have misunderstood the question. The original question requires a review or clarification.