Problem Solving

Hi Roland2rule,

We're told that after 6 games, team B had an average of 61.5 points per game and that it got only 47 points in game 7. We're asked for the number of points the team would need to score in game 8 to get its total ABOVE 500. The math behind this question can be solved in a couple of different ways.

To have a total ABOVE 500, the average score for the 8 games would need to be ABOVE 500/8 = 62.5

In the first 6 games, the average score was 61.5, so the team was 6(-1) = -6 points away from that exact average.
In the 7th game, the score was 47, so with this score the team is 62.5 - 47 = -15.5 points away from that exact average.

This means that in the 8th game, the team has to 'make up' all of those missing points AND get a bit above 62.5....
62.5 + 6 + 15.5 = 84 + some extra. There's only one answer that matches...

Final Answer: A

GMAT assassins aren't born, they're made,
Rich

Roland2rule wrote:After 6 games, team B had an average of 61.5 points per game. If it got only 47 points in game 7, how many more points does it need to score to get its total above 500?

(A) 85
(B) 74
(C) 67
(D) 53
(E) 28

The number of points after 6 games was 61.5 x 6 = 369 points.

After game 7, the team had a total of 369 + 47 = 416 points, so the team needs another 501 - 416 = 85 points to get above 500.

Answer: A