Question

Kyle scores an average of p points per game in his first 9 basketball games of the season. After Kyle scores n points in his 10th game, his season average increases by 3 points per game. What is the value of n-p?

1) 3
2) 12
3) 27
4) 30
5) 39

Answer 1

To find the value of n-p, set up an equation using Kyle's average before and after his 10th game. Solve for n-p to get the answer.

Step-by-step explanation:

To find the value of n-p, we need to first determine Kyle's average after his 10th game. Since his average increased by 3 points per game, we can set up the equation:

p + 3 = (9p + n) / 10

Next, we multiply both sides of the equation by 10 to eliminate the fraction:

10p + 30 = 9p + n

Subtracting 9p from both sides of the equation, we get:

p + 30 = n - p

Finally, we can simplify the equation by subtracting p from both sides:

n - 2p = 30

Therefore, the value of n-p is 30.