A basketball player scored 18 times during one game. He scored a total of 35 points, two for each two point shot and one. For each free throw. How many two point shots did he make? How many free throws?

Question

A basketball player scored 18 times during one game. He scored a total of 35 points, two for each two point shot and one. For each free throw. How many two point shots did he make? How many free throws?

Answer 1

If there were x 2-pointers and y free throws, then we know

x+y = 18 (add the shots)
2x+y = 35 (add the points)

Now just solve for x and y.

Answer 2

To determine the number of two-point shots the basketball player made, we need to divide the total points he scored (35) by the number of points each two-point shot is worth (2).

Number of two-point shots = Total points / Points per two-point shot
= 35 / 2
= 17.5

Since the player cannot score half a two-point shot, we round it down to the nearest whole number.

Therefore, the basketball player made 17 two-point shots.

To find the number of free throws, we can subtract the number of two-point shots made (17) from the total number of scores (18).

Number of free throws = Total scores - Number of two-point shots made
= 18 - 17
= 1

Therefore, the basketball player made 1 free throw.

Answer 3

To find the number of two-point shots the basketball player made, we can set up an equation. Let's say he made x two-point shots. Since each two-point shot counts as 2 points, the total points from two-point shots would be 2x.

To find the number of free throws the player made, we can set up another equation. Let's say he made y free throws. Since each free throw counts as 1 point, the total points from free throws would be y.

According to the given information, the player scored 18 times in total, regardless of the type of shot (two-point shots or free throws). Therefore, we have the equation:

x + y = 18 (Equation 1)

Also, the player scored a total of 35 points. Since each two-point shot counts as 2 points, and each free throw counts as 1 point, we can express this as:

2x + y = 35 (Equation 2)

Now, we have a system of equations with two unknowns. We can use various methods to solve this system, such as substitution or elimination. Let's solve it using the elimination method:

Multiply Equation 1 by 2:

2x + 2y = 36 (Equation 3)

Now, subtract Equation 2 from Equation 3:

(2x + 2y) - (2x + y) = 36 - 35

This simplifies to:

y = 1

Substitute the value of y into Equation 1:

x + 1 = 18

Subtract 1 from both sides:

x = 17

Therefore, the basketball player made 17 two-point shots and 1 free throw.

A basketball player scored 18 times during one game. He scored a total of 35 points, two for each two point shot and one. For each free throw. How many two point shots did he make? How many free throws?

If there were x 2-pointers and y free throws, then we know

(10,12)

To determine the number of two-point shots the basketball player made, we need to divide the total points he scored (35) by the number of points each two-point shot is worth (2).

To find the number of two-point shots the basketball player made, we can set up an equation. Let's say he made x two-point shots. Since each two-point shot counts as 2 points, the total points from two-point shots would be 2x.