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