Question

A basketball player scored 26 points in one game. In basketball, some baskets are worth 3 points, some are worth 2 points, and free-throws are worth 1 point. He scored four more 2-point baskets than he did 3-point baskets. The number of free-throws equaled the sum of the number of 2-point and 3-point shots made. How many free-throws, 2-point shots, and 3-point shots did he make?

Answer 1

3 points = 2

2 points = 6

1 point = 8

Explanation:

Given that:

Total point scored = 26

Let number of 3 point basket = x

Number of 2 point basket = x + 4

Number of free throws = x + x + 4 = 2x + 4

Hence,

Total 3 points = 3x

Total 2 points 2(x + 4)

Total free throw points = 2x + 4

3x + 2(x + 4) + 2x + 4 = 26

3x + 2x + 8 + 2x + 4 = 26

7x + 12 = 26

7x = 26 - 12

7x = 14

x = 2

Number of 3 points = x = 2

2 points = (x+4) = 2+4 = 6

1 point = (2x+ 4) = 2(2) + 4 = 8

Answer 2

The number of free-throws, 2-point shots, and 3-point sho ts he made are;

free-throws = 8

2 points = 6

3 points = 2

Let the number of 3 points basket be x

He scored four more 2-point baskets than he did 3-point baskets. Thus;

y = x + 4

number of free-throws equaled the sum of the number of 2-point and 3-point sho ts made. Thus;

z = x + x + 4

z = 2x + 4

Thus;

Total 3 points = 3x

Total 2 points = 2(x + 4)

Total fr ee points = 2x + 4

Since he scored a total of 26 points, then;