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How many people contributed to the Charity Y?

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by AAPL » Mon Aug 19, 2019 5:20 am

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Princeton Review

How many people contributed to Charity Y?

1) The average contribution to Charity Y was $100.
2) Charity Y collected a total of $47,000 in contributions.

OA C
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Source: — Data Sufficiency |

by Brent@GMATPrepNow » Mon Aug 19, 2019 6:21 am
AAPL wrote:Princeton Review

How many people contributed to Charity Y?

1) The average contribution to Charity Y was $100.
2) Charity Y collected a total of $47,000 in contributions.
Target question: How many people contributed to Charity Y?

Statement 1: The average contribution to Charity Y was $100.
Clearly NOT SUFFICIENT

Statement 2: Charity Y collected a total of $47,000 in contributions.
Clearly NOT SUFFICIENT

Statements 1 and 2 combined
KEY CONCEPT: average contribution = (total amount of contributions)/(total number of people who contributed)
Let T = total number of people who contributed to Charity Y
Plug in other values to get: $100 = $47,000/T
Multiply both sides by T to get: 100T = 47,000
Divide both sides by 100 to get: T = 47,000/100 = 470
The answer to the target question is 470 people contributed to Charity Y
Since we can answer the target question with certainty, the combined statements are SUFFICIENT

Answer: C

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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