How many points did each player score?

Question

Three players scored a total of 70 points during a basketball game. One player scored twice as many as one teammate and ten points fewer than the other teammate. How many points did each player score?

Answer 1

Let a, b, and c be the points scores by the 3 players.  They scored a total of 70 points:

 

a + b + c = 70

 

Player A scored twice as many as player b:  a = 2b

 

and 10 fewer than player C:  a = c - 10.  So c = a+10 = 2b+10

 

a   + b +      c      = 70

2b + b + (2b+10) = 70

 

5b + 10 = 70

5b = 60

b = 12 points

 

a = 2b = 24 points

c = a+10 = 24 + 10 = 34 points

 

12 + 24 + 34 = 70