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

Question

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

aaronq · Answer

are the units from the nutrition bar in grams?

aaronq · Answer

also, what are the units of energy? k/cal or kJ?

anonymous · Answer

yes they are in grams and the energy units are k/cal

aaronq · Answer

oh sorry, i didn't see your reply. so carbs and proteins 4 cal /g and fats 9cal/g

so you need 1350 kcal = 1350000 cal .. so each bar has 
50g carbs ..50(4) = 200 cal
40 g protein.. 40(4) = 160 cal
10g fat .. 9(10) = 90 cal

1 bar = 450 cal

divide the energy you need by the energy per bar

1350000 cal/450 cal = 3000 bars

anonymous · Answer

Thank you sooo much for walking it out step by step for me!!! This helped sooo much!!! THANK YOU!

aaronq · Answer

no prob !

aaronq · Answer

good luck carrying 3000 bars though haha

anonymous · Answer

Haha that would be a heck of a back pack!

aaronq · Answer

HA

xishem · Answer

I believe there's an error in calculations here. From what I understand, 1g of carbohydrates has 4kcals of energy, instead of 4cals of energy that was used in the calculation.

Think about the answer that was gotten compared to what the average number of Calories every person needs per day to function normally.

I think the average is around 2200 Calories (with a capital 'C'). This is food calories, which is the same as a kcal.

1 Calorie = 1kcal = 1 food calorie = 1000 calories

This trip requires 1350 kcal (food calories), which is just over half of what the normal human being needs to function normally.

Do you have to eat 6000 nutrition bars each day to function normally? Does that even make sense? Not really.

I think the more reasonable answer is 3 energy bars.

aaronq · Answer

@Xishem nope carbohydrates have ~4 calories per gram look it up. maybe it she meant 1350 calories as well but thats very little energy to climb a mountain

xishem · Answer

http://en.wikipedia.org/wiki/Food_energy This is showing that it's 4kcals/g. Usually, the general public is pretty lax on how they represent food calories (kcals) versus regular calories.