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Problem Solving

This topic has 3 expert replies and 0 member replies

Problem Solving

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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

OA is A
how do I go about this? I seek for the help of an Expert here. Thanks

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GMAT/MBA Expert

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Quote:
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

OA is A
how do I go about this? I seek for the help of an Expert here. Thanks
Hi Roland2rule,
Let's take a look at your question.

After 6 games, team B had an average of 61.5 points per game. We can find the total points scored in these 6 games using average formula.
$$Average\ =\ \frac{Sum\ of\ points\ }{Number\ of\ games}$$
$$61.5\ =\ \frac{Sum\ of\ points\ }{6}$$
$$\ Sum\ of\ points\ =61.5\times6=369$$

Therefore, Sum of points in first 6 games is 369.

The points scored in 7th game is 47.
$$Points\ scored\ in\ 7\ games\ =\ 369+47=416$$

We can now find the minimum points that should be scored, so that the total gets above 500, let's say 501, as:
$$501-416=85$$
Therefore, option A is correct.

Hope it helps.
I am available if you'd like any follow up.

_________________
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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

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Contact Rich at Rich.C@empowergmat.com

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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

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scott@targettestprep.com



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