9514 1404 393
Answer:
- free throws: 136
- 2-point: 174
- 3-point: 121
Step-by-step explanation:
Let x represent the number of 2-point field goals Rebecca made. Then the number of 3-point field goals can be represented by t, where ...
x = 2t -68 ⇒ t = (x +68)/2 . . . . . number of 3-point field goals
The number of free throws made was x -38.
Rebecca's total point count was ...
1(x -38) +2x +3(x +68)/2 = 847
9/2x +64 = 847
9/2x = 783
x = (2/9)(783) = 174
x -38 = 136
(x +68)/2 = 121
Rebecca made 136 free throws, 174 2-point field goals, 121 3-point field goals.
