John played 8 games of basketball this season. In his first 2 games, he averaged 5 more points scored than he did in the next 6 games. If he scored 90 points during the 8 game stretch, then how many points did he score in the first two games of the season, added together?
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Answer:

  • 30

Step-by-step explanation:

Let the average score in the last 6 games be x, then average score in first 2 games is x + 5

Considering the total score of 90 solve for x the equation:

  • 2(x + 5) + 6x = 90
  • 2x + 10 + 6x = 90
  • 8x = 80
  • x = 10

In the first 2 games John's score was:

  • 2(10 + 5) = 30
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