Problem Solving

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BTGmoderatorRO: Moderator; Posts: 772; Joined: Wed Aug 30, 2017 6:29 pm; Followed by:6 members

Problem Solving

by BTGmoderatorRO » Sat Feb 10, 2018 3:07 am

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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Source: Beat The GMAT — Problem Solving | Sat Feb 10, 2018 3:07 am

EconomistGMATTutor: GMAT Instructor; Posts: 555; Joined: Wed Oct 04, 2017 4:18 pm; Thanked: 180 times; Followed by:12 members

by EconomistGMATTutor » Sun Feb 11, 2018 12:47 pm

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.

GMAT Prep From The Economist
We offer 70+ point score improvement money back guarantee.
Our average student improves 98 points.

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by [email protected] » Mon Feb 12, 2018 11:04 am

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

Contact Rich at [email protected]

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by Scott@TargetTestPrep » Tue Feb 13, 2018 5:36 pm

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

Scott Woodbury-Stewart
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