On a 14-day vacation, Glenn increased his caloric intake by 1500 calories per day.
He also worked out more than
usual by swimming 2 hr a day. Swimming burns 666 calories per hour, and a net gain of 3500 calories adds 1 lb of
weight. Did Glenn gain at least 1 lb during his vacation?
14 * 1500 = 21,000 total calories consumed
28 * 666 = 18,648 total calories used
I think you can take this problem from here.
To determine if Glenn gained at least 1 lb during his vacation, we need to calculate the total calories consumed and the calories burned through swimming. Let's break down the calculations step by step:
1. Calculate the total additional calories consumed during the vacation:
Since Glenn increased his caloric intake by 1500 calories per day, we multiply 1500 by the number of vacation days (14):
Total additional calories consumed = 1500 calories/day * 14 days = 21,000 calories.
2. Calculate the calories burned through swimming:
Glenn swam for 2 hours per day, and swimming burns 666 calories per hour. So, we multiply the calories burned per hour by the number of hours swam (2) and the number of vacation days (14):
Calories burned through swimming = 666 calories/hour * 2 hours/day * 14 days = 18,648 calories.
3. Calculate the net calorie gain/loss:
To determine Glenn's net calorie gain/loss during the vacation, subtract the calories burned through swimming from the additional calories consumed:
Net calorie gain/loss = Total additional calories consumed - Calories burned through swimming
= 21,000 calories - 18,648 calories
= 2,352 calories.
4. Convert the net calorie gain/loss into pounds:
A net gain of 3,500 calories adds 1 lb of weight. Therefore, we divide the net calorie gain/loss by 3,500 to determine the weight gained/lost:
Weight gained/lost = Net calorie gain/loss / 3,500 calories per lb
= 2,352 calories / 3,500 calories per lb
≈ 0.67 lb.
Based on the calculations, Glenn gained approximately 0.67 lb during his vacation, which is less than 1 lb. Therefore, Glenn did not gain at least 1 lb during his vacation.