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Sallys basketball team played 6 games . They scored 76 points in the first game , 88 points in each of the next two games , and 92 points in each of the following two games . The team scored 515 points altogether . Write an expression and calculate the number of points they scored in the last game .

Respuesta :

The expression is 436 + x = 515

The number of points they scored in the last game is 79

Step-by-step explanation:

Sally's basketball team played 6 games

  • They scored 76 points in the first game
  • 88 points in each of the next two games
  • 92 points in each of the following two games
  • The team scored 515 points altogether

We need to write an expression and calculate the number of points they scored in the last game

Assume that the score of the last game is x

∵ Sally's basketball team played 6 games

∵ The score of the first game is 76 points

∵ The score of the next two games is 88 points each

∴ The score of the 2nd game is 88 points and the score

   of the 3rd game is 88 points

∵ The score of each following two games is 92 points

∴ The score of the 4th game is 92 points and the score

   of the 5th game is 92 points

∵ The score of the 6th game is x points

- Add all of them to find the total score of the 6 games

The total score = 76 + 88 + 88 + 92 + 92 + x

- Add the like terms

The total score = 436 + x

∵ The team scored 515 points altogether

- Equate the expression of the total by 515

∴  436 + x = 515

- To find the value of x subtract 436 from both sides

x = 79

∴ The score of the last game is 79 points

The expression is 436 + x = 515

The number of points they scored in the last game is 79

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