Eric, sheena, and yael are playing a game. eric has half as many points as sheena. sheena has three fewer points than yael. together, the three players have 68 points. how many points does yael have?

There are 68 total points.
Let the points held by the contestants be
x for Eric,
y for Sheena,
z for Yael.

Therefore
x + y + z = 68              (1)

Sheena has three fewer points than Yael, Therefore
y = z - 3  or
 y - z = -3                    (2)

Eric has half as many points as Sheena. Therefore
x = (1/2)y, or
2x = y                      (3)

Add (1) and (2).
x + 2y = 65               (4)

Substitute (3) nto (4).
x + 2(2x) = 65
5x = 65
x = 13
y = 2x = 26

From (2),
26 - z = -3
z = 29

 Yael has 29 points