Final answer:
To find the number of grams of carbohydrates in 4 cups, use a proportion. There are 800 calories in 4 cups, and based on the average number of calories for carbohydrates of 4.1 calories/g, there are approximately 195.12 grams of carbohydrates in 4 cups.
Step-by-step explanation:
To find the number of grams of carbohydrates in 4 cups, we can use a proportion. Let's use the given information that there are 200 kilocalories (Calories) in 1/2 cup. This means that there are 200 kilocalories in 1 serving. To find the number of kilocalories in 4 cups, we can set up the proportion: 1/2 cup = 200 calories and 4 cups = n calories. Cross multiplying gives us 1/2 x n = 200 x 4 which simplifies to n = 800 calories. So, there are 800 calories in 4 cups. We can convert these calories to grams by using the fact that the average number of calories for carbohydrates is 4.1 calories per gram. Setting up another proportion, we have 4.1 calories/g = 1 gram and n calories = x grams. Cross multiplying gives us 4.1 x = 800 which simplifies to x = 800 / 4.1. Using a calculator, we find that x is approximately 195.12 grams.