a basketball player scores 35 times during a gam,e. he scored 57 total point 2 for each 2 point shot and one for each free throw how many two pint shots did he make and how many free throws did he make
To find out how many two-point shots and free throws the player made, we need to use the given information. We know that the player scored a total of 57 points, and each two-point shot is worth 2 points, while each free throw is worth 1 point.
Let's set up two equations to represent the given information:
Let x be the number of two-point shots made, and y be the number of free throws made.
Equation 1: x + y = 35 (since the player scored 35 times in total)
Equation 2: 2x + y = 57 (since each two-point shot is worth 2 points)
Now we need to solve this system of equations to find the values of x and y.
We can start by solving Equation 1 for y:
y = 35 - x
Substituting this value in Equation 2, we get:
2x + (35 - x) = 57
Simplifying:
2x + 35 - x = 57
x + 35 = 57
x = 57 - 35
x = 22
Now that we know x (the number of two-point shots made), we can substitute it back into Equation 1 to find y:
22 + y = 35
y = 35 - 22
y = 13
Therefore, the player made 22 two-point shots and 13 free throws during the game.
57-35 = 22, so there were 22 extra points.
so, 22 2-point shots, and 13 1-point shots.
Point total: 44+13 = 57