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In a four-team basketball league, each team has played every other team 4 times. A team earned 3 points for a win, 1 point for a tie and no points for a loss. The total accumulated points were: Bulls 22, Lakers 19, Knicks 14 and Warriors 12. How many games ended in a win and how many games ended in a tie? (Hint: you might want to start by figuring out how many games total were played, how many points were available, and the combinations of how the teams received the points.)

Relax

Respuesta :

mathmate
Given:
four teams
each team plays every other team four times
3+0=3 points for a win in a match
1+1=2 points for a tie in a match
total number of points = 22+19+14+12=22+33+12=55+12=67 points

Total number of games played = (4*3/2)*4=24
Maximum number of points =24*3=72
For each tied match, there will be 3-2=one point less in the total.
Therefore there were 72-67=5 tied games, and 24-5=19 games won.

Total 19*3+5*2=57+10=67 points.  ok.

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