Solve.
-A basketball player scored 34 points in a game. The number of three-point field goals the player made was 4 less than three times the number of free throws (each worth 1 point). Twice the
Number of two-point field goals the player made was 11 more than the number of three-point field
Goals made. Find the number of free-throws, two-point field goals, and three-point field goals that
The player made in the game.
A) 3 free throws; 8 two-point field goals; 5 three-point field goals
B) 3 free throws; 5 two-point field goals; 8 three-point field goals
C) 4 free throws; 8 two-point field goals; 8 three-point field goals
D) 3 free throws; 9 two-point field goals; 7 three-point field goals

Question

Quizplus · Accepted Answer

Let F be the number of free throws, T be the number of two-point field goals, and H be the number of three-point field goals. The equations based on the given information are:1. Total points: F + 2T + 3H = 342. Three-point field goals: H = 3F - 43. Two-point field goals: 2T = H + 11Substituting H from equation 2 into equation 3 gives 2T = (3F - 4) + 11, simplifying to 2T = 3F + 7. Using the equations to solve for F, T, and H, we find that the player made 3 free throws, 8 two-point field goals, and 5 three-point field goals.

Solve. -A Basketball Player Scored 34 Points in a Game. the the Number