question archive Alexandra decides to climb Mt
Alexandra decides to climb Mt
Subject:MathPrice:1.87 Bought7
Alexandra decides to climb Mt. Krumpett, which is 5000 m high. She determines that this will require a total of 2250 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.The following table shows the caloric values of three types of food in kilocalories per gram of food:Food typeCarbohydratesFatProteinCaloric value4 kcal
1 g
9 kcal
1 g
4 kcal
1 g
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Answer:
the number of bars needed for the trip is asked for in this question.
First, we need to calculate how much energy each nutrition bar can provide:
E = 50 g x 4 kcal/1 g + 10 g x 9 kcal/1 g + 40 g x 4 kcal/1 g = 450 kcal
Since she needs a total of 2250 kcal of energy for the trip, the number of bars she should take is
2250 kcal/450 kcal/bar = 5 bars
