Final answer:
To find the total kilocalories consumed by the woman, we need to determine the energy content of each macronutrient. Proteins, fats, and carbohydrates are consumed in the ratio of 1:1:4, and we can use this information to calculate the energy content of the consumed amounts. The woman has consumed a total of 18150 kilocalories. None of the option is correct
Step-by-step explanation:
To calculate the total kilocalories consumed by the woman, we need to determine the energy content of each macronutrient. According to the information provided, proteins, fats, and carbohydrates are consumed in the ratio of 1:1:4. We are given that consuming 100 grams of each macronutrient provides 3000 calories in total. Therefore, to find the energy content of the consumed amounts, we can set up a proportion:
100g / 3000kcal = 30g / X
By cross-multiplying and solving for X, we find that 30 grams of proteins contain 900 kilocalories. Following the same logic, we can determine that 75 grams of fat contain 2250 kilocalories, and 500 grams of carbohydrates contain 15000 kilocalories. Summing these values, we find that the woman has consumed a total of 18150 kilocalories.
None of the option is correct