Question

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

Answer 1

Let's say the player has made x 2-point field goals and y 3-point field goals.
We know that each 2-point field goal is worth 2 points and each 3-point field goal is worth 3 points.
So, the total points from 2-point field goals would be 2x and the total points from 3-point field goals would be 3y.
We also know that the total points from all the field goals is 14.
Therefore, we can write the equation: 2x + 3y = 14.
To find the number of 3-point field goals, we need to solve this equation for y.
By trial and error, we can see that y = 4 and x = 3 would satisfy this equation.
So, the player has made 4 3-point field goals.
Therefore, the answer is B. 4.