Question

In his second basketball game, Jon scored twice as many points as he did in his first game. In his third game, he scored 4 points less than he did in his second game. If Jon scored 10 points in his third game, how many points did he score in his first game?

Answer 1

To find out how many points Jon scored in his first basketball game, we solved the equation 2x - 4 = 10, which represented the points scored in subsequent games. The solution indicates that Jon scored 7 points in his first game.

Step-by-step explanation:

The question revolves around a series of basketball games where Jon's points scored follow a specific numerical pattern. To determine how many points Jon scored in his first game, we need to work backwards from the given information that in his third game, he scored 10 points, which is 4 points less than the second game.

Let's denote the number of points Jon scored in his first game as x. According to the problem, in his second game, he scored twice as many points as in the first game, which can be represented as 2x. In his third game, he scored 4 points less than in his second game. Since he scored 10 points in the third game, we can set up the equation 2x - 4 = 10 to represent this relationship.

Now, let's solve for x:

1. Add 4 to both sides of the equation to isolate terms with x on one side: 2x - 4 + 4 = 10 + 4, simplifying to 2x = 14.
2. Divide both sides by 2 to solve for x: 2x/2 = 14/2, which simplifies to x = 7.

Therefore, Jon scored 7 points in his first game.