Solve Problems Using Systems in Three Variables
-A basketball player scored 27 points in a game. The number of three-point field goals the player made was 25 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 10 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) 9 free throws; 6 two-point field goals; 2 three-point field goals
B) 10 free throws; 6 two-point field goals; 5 three-point field goals
C) 9 free throws; 7 two-point field goals; 4 three-point field goals
D) 9 free throws; 2 two-point field goals; 6 three-point field goals

Question

Quizplus · Accepted Answer

The system of equations based on the problem's description is solved correctly by option A: 9 free throws (1 point each), 6 two-point field goals (2 points each), and 2 three-point field goals (3 points each) sum up to 27 points, and the relationships between the numbers of each type of goal match the problem's conditions.