A basketball player scored 25 times during one game. she scored a total of 46 points, two for each two-point shot and one for each free throw. how many two-point shots did she make
let the number of free throws be x and that of point shots be y x+y=25 ⇒x=25-y...i also: x+2y=46...ii substituting i in ii we get: (25-y)+2y=46 solving for y we get: y=21 hence x=25-21=4 thus the number of free shots was 4 and that of point shots was 21
