Problems from Range

Fill in the points of every team of the following classification of the teams of the League of the Spanish soccer:

Team

Points

Barcelona

 

Real Madrid

 

Seville

 

Valencia

 

Villareal

 

Atlético

 

Malaga

 

Deportivo

 

Majorca

 

Almeria

 

Athletic

 

Racing

 

Betis

 

Osasuna

 

Getafe

 

Sporting

 

Recreativo

 

Valladolid

 

Espanyol

 

Numantia

 

See development and solution

Development:

We define the following scorings.

Team

Points

Barcelona

81

Real Madrid

75

Seville

63

Valencia

56

Villareal

56

Athletic

54

Malaga

53

Deportivo

53

Majorca

53

Almeria

51

Athletic

50

Racing

41

Betis

40

Osasuna

40

Getafe

33

Sporting

33

Recreativo

33

Valladolid

29

Espanyol

28

Numantia

28

  • The range of the points of all the teams is: $$$81-28=53 \ \mbox{points} $$$

  • The range of the points of the teams in European positions is: $$$81 - 54 = 27 \ \mbox{points} $$$

  • The range of the points of the teams in relegation is: $$$29-28 = 1 \ \mbox{point} $$$

Solution:

Team

Points

Barcelona

81

Real Madrid

75

Seville

63

Valencia

56

Villareal

56

Athletic

54

Malaga

53

Deportivo

53

Majorca

53

Almeria

51

Athletic

50

Racing

41

Betis

40

Osasuna

40

Getafe

33

Sporting

33

Recreational

33

Valladolid

29

Espanyol

28

Numantia

28

  • $$53$$ points
  • $$27$$ points
  • $$1$$ point
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