SerenityLestyn
SerenityLestyn SerenityLestyn
  • 20-11-2018
  • Mathematics
contestada

A football team won 8 more games than they lost. They played 24 games in the season. How many games were won and how many were lost?

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mathstudent55
mathstudent55 mathstudent55
  • 20-11-2018

The team lost n games.

The team won 8 more games than it lost, so it won n + 8.

The total number of games the team played was n + n + 8, or 2n + 8.

The team played a total of 24 games, so

2n + 8 = 24

We now solve for n.

2n + 8 = 24

2n = 16

n = 8 (lost games)

n + 8 = 8 + 8 = 16 (won games)

Answer: The team won 16 games and lost 8 games.

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