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?

Answer 1

There are 2 number of 3-points field goal that the player has made.

Explanation:

In basketball, a field goal is worth 2 points or 3 points, depending on how far from the basket the shot is taken.

If a basketball player has made 6 field goals which resulted in 14 points.

Let us assume that there are x numbers of 2 points goals and y number of 3 point goals that the player has made.

Then, we can write the equation as

x + y = 6 ...... (1) and

2x + 3y = 14 ........ (2)

Now, solving equations (1) and (2) we get,

3y - 2y = 14 - 12

⇒ y = 2

And from equation (1) we get, x = 6 - y = 6 - 2 = 4

Therefore, there are 2 number of 3-points field goal that the player has made. (Answer)