In basketball, a field goal is worth 2 points or 3 points, depending on how far from the basket the shot is taken. Suppose a basketball player has made 6 field goals which have resulted in 14 points. How many 3-point field goals has the player made?
A.
2
B.
4
C.
6
D.
8
A. 2
Explanation: Let x be the number of 2-point field goals made and y be the number of 3-point field goals made.
Then, we have the following system of equations:
2x + 3y = 14 (total points)
x + y = 6 (total field goals)
Solving this system of equations gives x = 2 and y = 4.
Therefore, the player has made 4 3-point field goals.