Final answer:
To find out how many calories are in 3 ounces of hot fudge when 12 ounces contain 1100 calories, we set up a proportion and calculate that there are 275 calories in 3 ounces.
Step-by-step explanation:
The question asks how many calories are in 3 ounces of hot fudge if 12 ounces of hot fudge contain 1100 calories. To find the calories in 3 ounces, we need to set up a proportion since the number of calories is directly proportional to the weight of the hot fudge.
First, we know that 12 ounces = 1100 calories. Now, we want to find out how many calories 3 ounces have. We set up the proportion as follows:
12 ounces 3 ounces
----------- = -----------
1100 calories x calories
To solve for x (calories in 3 ounces), we cross-multiply and divide:
(12 ounces) * x calories = (1100 calories) * 3 ounces
This simplifies to:
12x = 3300
Dividing both sides by 12 gives:
x = 275 calories
Therefore, there are 275 calories in 3 ounces of hot fudge.