Asked by Alex

A basketball player makes 53 points on 24 shots. How many 3 pointers and 2 pointers did he shoot. Show your work. I know that the answer is 5 for the 3 pointers and 19 2 pointers but I don't know how to show it.
Answered by Steve
If x at 2 pts, then 24-x at 3 pts. So, adding up all the points,

2x + 3(24-x) = 53

x = 19 for 2-pts
so, 24-x = 5 for 3-pts