Posted by **Giselle** on Monday, July 23, 2007 at 6:44pm.

In a certain game, each of 5 players received a score between 0 and 100, inclusive. If their average (arithmetic mean) score was 80, what is the greatest possible number of the 5 players who could have received a score of 50? Explain.

(A)None

(B)One

(C)Two

The average is defined this way:

average=1/5 (score1 + score2 + ...)

Here. We want to find the number n of folks that can get a 50 with a class average of 80.

80=1/5(n*50 + sum of other scores)

Now, to maximize n, we need to maximize the sum of the other scores, or

80=1/5(n*50 + 100*(5-n))

solve for n

## Answer This Question

## Related Questions

- Math - FIve players played a scored board game. If the average ( arithmetic mean...
- math - in a basketball game, the star player scored 3 times as many points as ...
- math - 1. When 100 students took a test, the average score was 77,1. Two more ...
- Math - Five children play a game in which players either gain 1 point or lose 1 ...
- Math - The game Upright is played by two players on an m×n square board and has ...
- stats - 2. A standardized exam was provided to all 3rd graders in Arizona ...
- algebra - Briana's second test score was 8 points higher than her first score. ...
- Programming - Write a program to do the following: In main, declare a Player ...
- Algebra - A student scores 83 and 91 on her first 2 tests. Write and solve a ...
- Math (Probability) - Bret and Shawn are playing a game where each turn the ...

More Related Questions