Question

Alexandra decides to climb Mt. Krumpett, which is 5000 m high. She determines that this will require a total of 1350 kcal of energy for the trip. For her food supply, she decides to take nutrition bars. The label states that each bar contains 50 g of carbohydrates, 10 g of fat, and 40 g of protein. How many nutrition bars does Alexandra need to take with her?

Answer 1

Alexandra needs to take 3 nutrition bars with her for the trip.

Step-by-step explanation:

To calculate the number of nutrition bars Alexandra needs to take with her, we need to determine the total energy provided by each bar. According to the label, each bar contains 50 g of carbohydrates, 10 g of fat, and 40 g of protein. To calculate the energy content, we can multiply the amount of each nutrient by the energy value per gram. Carbohydrates and proteins provide 4 kilocalories (kcal) per gram, while fats provide 9 kcal per gram.

Energy from carbohydrates: 50 g * 4 kcal/g = 200 kcal

Energy from fat: 10 g * 9 kcal/g = 90 kcal

Energy from protein: 40 g * 4 kcal/g = 160 kcal

Total energy per nutrition bar: 200 kcal + 90 kcal + 160 kcal = 450 kcal

To determine the number of bars Alexandra needs, we can divide the total energy required for the trip (1350 kcal) by the energy provided by each bar.

Number of nutrition bars needed: 1350 kcal / 450 kcal/bar = 3 bars

Answer 2

Alexandra requires a total energy of 1350 kcal for the climb
by eating proteins, fats and carbohydrates the amount of calories per gram contributed varies.
Proteins and carbohydrates - 4 calories per gram
fats - 9 calories and gram
This means that by eating the same mass of fats and proteins/ carbohydrats the calories gained from fats is higher.
each bar contains;
50 g of carbohydrates - 4 calories/g x 50 g = 200 calories
10 g of fat - 9 calories/g x 10 g = 90 calories
40 g of protein - 4 calories/g x 40 g = 160 calories
total amount of calories from 1 bar = 200 + 90 + 160 = 450 calories
energy required = 1 350 000 calories
bars required = 1 350 000/450 = 3000
alexandra should consume 3000 bars