Problema Solution
On November 4th, against the Houston Rockets, Ron Artest scored a total of 15 points, scoring all his points on 2‐point and
3‐point shots. He made three more 2‐pointers than 3‐pointers. How many of each type of shot did he make?
Answer provided by our tutors
let
x = the number of 2-pointers, x is integer
y = the number of 3-pointers, y is integer
Ron Artest scored a total of 15 points, scoring all his points on 2‐point and 3‐point shots:
2x + 3y = 15
He made three more 2‐pointers than 3‐pointers:
x = y + 3
by solving the system of equations:
2x + 3y = 15
x = y + 3
we find:
x = 4.8
y = 1.8
click here to see the step by step solution of the system of equations:
since the number of 2-pointers and 3-pointers must be integer we conclude that the problem has no solution.