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In the years from 2010 to 2015 , the basketball player LeBron James played 17,860 minutes, more than any other player in the National Basketball Association. Kevin Durant is second, with 15,595 minutes played in those years. If Kevin Durant averaged 38 minutes per game, what is the least number of additional games he would have had to play to surpass LeBron James's record? The answer should be a whole number.

In the years from 20102010 to 20152015 , the basketball player LeBron James played 1717,860860 minutes, more than any other player in the National Basketball Association. Kevin Durant is second, with 1515,595595 minutes played in those years. If Kevin Durant averaged 3838 minutes per game, what is the least number of additional games he would have had to play to surpass LeBron James's record? The answer should be a whole number.

Full solution

Q. In the years from 20102010 to 20152015 , the basketball player LeBron James played 1717,860860 minutes, more than any other player in the National Basketball Association. Kevin Durant is second, with 1515,595595 minutes played in those years. If Kevin Durant averaged 3838 minutes per game, what is the least number of additional games he would have had to play to surpass LeBron James's record? The answer should be a whole number.
  1. Calculate Difference in Minutes: To find out how many more minutes Kevin Durant would need to surpass LeBron James, we first need to calculate the difference in minutes played between the two players.\newlineLeBron James played 17,86017,860 minutes.\newlineKevin Durant played 15,59515,595 minutes.\newlineSo, the difference is 17,86015,595=2,26517,860 - 15,595 = 2,265 minutes.
  2. Find Number of Games: Now that we know Kevin Durant needs 2,2652,265 more minutes to surpass LeBron James, we need to find out how many games that would translate into, given that Kevin Durant averages 3838 minutes per game.\newlineTo do this, we divide the total minutes needed by the average minutes per game.\newline2,265 minutes÷38 minutes/game=59.60526316 games.2,265 \text{ minutes} \div 38 \text{ minutes/game} = 59.60526316 \text{ games}.
  3. Round Up to Nearest Whole Number: Since Kevin Durant can't play a fraction of a game, we need to round up to the nearest whole number to find out the least number of additional games he would have to play.\newlineRounding up 59.6052631659.60526316 gives us 6060 games.

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