SOLUTION: Louie Dampier is the leading scorer in the history of the ABA. His 13,726 points were scored on two point baskets, three point baskets, and one point free throws. In his ABA career

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Louie Dampier is the leading scorer in the history of the ABA. His 13,726 points were scored on two point baskets, three point baskets, and one point free throws. In his ABA career      Log On


   

Question 1196864: Louie Dampier is the leading scorer in the history of the ABA. His 13,726 points were scored on two point baskets, three point baskets, and one point free throws. In his ABA career, Dampier made 2,144 more two point baskets than free throws and 1,558 more free throws than three point baskets. Write a system of equations that could be used to find how many three point baskets, two point baskets, and free throws he made? How many three point baskets did Dampier make?



Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
Are you required to setup a "system of equations", or is a one-variable equation acceptable?
TYPE            SHOTS         VALUE of SHOT       POINTS
two-point        f+2144           2              2(f+2144)
three-point      f-1588           3              3(f-1588)
free-throw       f                1                f
Total                                              13726

Equation to find number of free-throw shots is 2%28f%2B2144%29%2B3%28f-1588%29%2Bf=13726.

Finished Results:
TYPE              SHOTS         VALUE of SHOT      POINTS
twopoint           4511             2              9022
threepoint          779             3              2337
freethrow          2367             1              2367
Total              7657                           13726