SOLUTION: A basketball player scored 9 times during one game,. He scored a total of 10 points, two for each field goal and one for each free throw. How many fiels goals did he make? How many

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: A basketball player scored 9 times during one game,. He scored a total of 10 points, two for each field goal and one for each free throw. How many fiels goals did he make? How many      Log On


   

Question 157506: A basketball player scored 9 times during one game,. He scored a total of 10 points, two for each field goal and one for each free throw. How many fiels goals did he make? How many free throws?
Hoe many field goals did he make?
How many frr throws did he make
Found 2 solutions by jojo14344, Clewis:
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!
Total shots: 9
Remember:
FG=x ---> no. fo field goals
FT=y ---> no. of free throws
In this data, we generate,x%2By=9 --------------> eqn 1
.
Total points: 10
FG=2 ---> field goal points per 1 shot
FT=1 ---> free throw point per 1 shot
So it follows, 2x%2B1y=10 ----------------------------------> eqn 2
In eqn 1 we get, y=9-x -----------------------------------> eqn 3,
Substitute eqn 3 to eqn 2:
2x%2B9-x=10
x=10-9=highlight%281%29 -------------> no. of field goals
In eqn 3: y=9-1=highlight%288%29 ----> no. of free throws
In doubt? we go eqn 2:
2%281%29%2B1%288%29=10
2%2B8=10
10=10 , total points scored
Thank you,
Jojo

Answer by Clewis(1) About Me  (Show Source):