Solve the problem.
-A basketball player scored 33 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 did he make?
A) He made 3 free-throws.
B) He made 7 free-throws.
C) He made 13 free-throws.
D) He made 10 free-throws.

Question

Quizplus · Accepted Answer

Let the number of 3-point baskets be x, then the number of 2-point baskets is x + 4. The number of free throws is the sum of 2-point and 3-point shots, which is x + (x + 4). The total points scored from 3-point baskets is 3x, from 2-point baskets is 2(x + 4), and from free throws is x + (x + 4). The equation for the total points is 3x + 2(x + 4) + x + (x + 4) = 33. Simplifying gives 7x + 8 = 33, so 7x = 25, and x = 25 / 7, which does not lead to a whole number solution. However, the correct approach is to set up the equation based on the points: 3x + 2(x + 4) + (x + x + 4) = 33, simplifying to 6x + 8 = 33, then 6x = 25, which is incorrect. Correctly, it should be 3x for 3-pointers, 2(x + 4) for 2-pointers, and the free throws equation should correctly account for the total points. The correct setup is 3x + 2(x + 4) + (2x + 4) = 33, leading to a different solution. The correct calculation is to find the number of each type of basket that sums to 33 points under the given conditions. Solving the problem correctly involves finding the right combination of 3-point, 2-point, and free-throw shots that add up to 33 points, with the constraints given. The correct answer, upon solving the equations with the right method, shows that the player made 10 free-throws.

Solve the Problem. -A Basketball Player Scored 33 Points in One Game. in One