a basketball player scored 40 times during one game. she scored a total of 65 points, two for each two point shot and one for each free throw. how many two point shots did she make? how many free throws
2S+1F=65
S+F=40
subtract second equation from first...
S=25 solve for F
To find out how many two-point shots the basketball player made, we need to divide the total number of points scored (65) by the value of each two-point shot (2).
Number of two-point shots = Total points scored / Value of each two-point shot
Number of two-point shots = 65 / 2
Therefore, the basketball player made 32 two-point shots.
To calculate how many free throws she made, we need to find the difference between the total number of shots made and the number of two-point shots made.
Number of free throws = Total shots made - Number of two-point shots made
Number of free throws = 40 - 32
Therefore, the basketball player made 8 free throws.