Answer the following questions. (e) A gallon of ice cream contains exactly 32 servings, and each serving has 165 Calories, of which 30.0% are derived from fat. How many Calories derived from fat would you consume if you ate one half of a gallon of ice cream?

Verified step by step guidance

1. Calculate the total number of servings in half a gallon of ice cream by dividing the total servings in a gallon by 2.
2. Determine the total Calories in half a gallon by multiplying the number of servings in half a gallon by the Calories per serving.
3. Calculate the percentage of Calories from fat per serving by multiplying the total Calories per serving by the percentage of Calories from fat (30.0%).
4. Find the total Calories from fat in half a gallon by multiplying the Calories from fat per serving by the number of servings in half a gallon.
5. The result from the previous step gives you the total Calories derived from fat consumed when eating half a gallon of ice cream.

Key Concepts

Caloric Calculation

To determine the total caloric content from a food item, you multiply the number of servings by the calories per serving. In this case, a gallon of ice cream has 32 servings, each containing 165 Calories, leading to a total of 5280 Calories in a gallon.

Percentage Calculation

Understanding percentages is crucial for calculating specific components of a total. Here, 30.0% of the total Calories are derived from fat, which means you need to convert the percentage into a decimal (0.30) and multiply it by the total Calories to find the fat-derived Calories.

Serving Size and Portion Control

Recognizing serving sizes is important for dietary calculations. Since the question asks for the caloric intake from consuming half a gallon of ice cream, you must first determine the number of servings in half a gallon (16 servings) before calculating the total Calories and the Calories from fat.