Question

I played 4 video games and had an average score of 12,000 points

per game. The average score of the first 3 games was 11,000 points
per game. How many points did I score in the 4th game?

Answer 1

The average of anything is calculated by adding up all the values and dividing by the number of values.

The Average = 12,000

the # of values = 4

x = score of the 4th game

(11,000 + 11,000 + 11,000 + x) / 4 = 12,000

First, let's multiply both sides by 4

11,000 + 11,000 + 11,000 + x = 48,000

Let's simplify the left side

33,000 + x = 48,000

Subtract 33,000 from both sides

x = 15,000

You scored 15,000 points in the 4th game

Answer 2

15,000

Explanation:

The first three games leave you with at total that is 3000 below the average. So, the last game has a score that is 3000 above average:

12000 +3000 = 15000 points scored in 4th game

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Check

(11000 +11000 +11000 +15000)/4 = 48000/4 = 12000