Problema Solution

A player shoots 36 baskets and scores 93 points,in a combination of 1 point free thows, 2 point shots and 3 point behind the arch shots.How many shots of each did the player shoot?

Answer provided by our tutors

A player shoots 36 baskets and scores 93 points,in a combination of 1 point free thows, 2 point shots and 3 point behind the arch shots.How many shots of each did the player shoot?

 

36 shoots :  x +2 y+ 3z= 93 -> 36-y-z +2y+3z= 93 ->  y+ 2z = 57  -> y= 57-2z

 

                    x+y+z= 36 -> x=36-y-z = 36 - 57+ 2z

 

-> 36 - 57+ 2z + 2 * (57-2z) + 3z= 93

    -21 + 2z + 114 - 4z + 3z = 93

    93+ z= 93 -> z= 0 of 3 points

                          y=  57

                          x=  -21