Solve the problem.
-Sandy Brondello scored 24 points in a recent basketball game without making any 3-point shots. She scored 16 times, making several free throws worth 1 point each and several field goals worth two points each. How many
Free throws did she make? How many 2-point field goals did she make?
A)10 free throws, 7 field goals
B)6 free throws, 10 field goals
C)9 free throws, 7 field goals
D)8 free throws, 8 field goals

Question

Quizplus · Accepted Answer

Let $x$ be the number of free throws and $y$ be the number of field goals. We have two equations based on the given information: $x + 2y = 24$ (total points) and $x + y = 16$ (total number of scores). Solving these equations simultaneously, we find $x = 8$ and $y = 8$.

Solve the Problem. -Sandy Brondello Scored 24 Points in a Recent Basketball Game