During hibernation, American black bears do not eat or replenish calories. A certain black bear weighed 322 pounds when entering hibernation and lost weight at a rate of 0.7 pound per day. At this rate, how many days after entering hibernation did the black bear weigh 280 pounds?
Question
During hibernation, American black bears do not eat or replenish calories. A certain black bear weighed 322 pounds when entering hibernation and lost weight at a rate of 0.7 pound per day. At this rate, how many days after entering hibernation did the black bear weigh 280 pounds?
Solution
First, we need to find out how much weight the bear lost. We do this by subtracting the bear's weight after hibernation from its weight before hibernation.
So, 322 pounds (initial weight) - 280 pounds (final weight) = 42 pounds (weight lost)
Next, we need to find out how many days it took for the bear to lose this weight. Since the bear lost weight at a rate of 0.7 pound per day, we divide the total weight lost by the rate of weight loss per day.
So, 42 pounds ÷ 0.7 pound/day = 60 days
Therefore, it took the bear 60 days to reduce its weight to 280 pounds.
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