The architects of a certain type of building estimate

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AAPL: Moderator; Posts: 2599; Joined: Sun Oct 29, 2017 2:08 pm; Followed by:2 members

The architects of a certain type of building estimate

by AAPL » Wed Jan 09, 2019 5:15 am

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The architects of a certain type of building estimate construction costs to be $2.0 million per floor for each of the first 5 floors, $2.5 million per floor for each of the next 3 floors, and $3.5 million per floor for any additional floors. What would the architects estimate the construction costs to be for a building of this type with 10 floors?

A. $23.0 million
B. $23.5 million
C. $24.0 million
D. $24.5 million
E. $25.0 million

OA D

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Source: Beat The GMAT — Problem Solving | Wed Jan 09, 2019 5:15 am

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by [email protected] » Wed Jan 09, 2019 6:53 pm

Hi All,

We're told that the architects of a certain type of building estimate construction costs to be $2.0 million per floor for each of the first 5 floors, $2.5 million per floor for each of the next 3 floors, and $3.5 million per floor for any additional floors. We're asked what the architects would estimate the construction costs to be for a building of this type with 10 floors. This question is ultimately just about Arithmetic, but since the answers are relatively 'close together', we have to be careful about doing detailed work (or we might get one of the wrong answers).

According to the given information:
Each of the first 5 floors costs $2 million each --> (5)($2 million) = $10 million
Each of the next 3 floors costs $2.5 million each --> (3)($2.5 million) = $7.5 million
Each additional floor costs $3.5 million each --> (2)($3.5million) = $7 million

Total = $10 million + $7.5 million + $7 million = $24.5 million

Final Answer: D

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

Contact Rich at [email protected]

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8085; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

by Scott@TargetTestPrep » Mon Jan 21, 2019 5:53 pm

AAPL wrote:GMAT Prep

The architects of a certain type of building estimate construction costs to be $2.0 million per floor for each of the first 5 floors, $2.5 million per floor for each of the next 3 floors, and $3.5 million per floor for any additional floors. What would the architects estimate the construction costs to be for a building of this type with 10 floors?

A. $23.0 million
B. $23.5 million
C. $24.0 million
D. $24.5 million
E. $25.0 million

For a 10-floor building, the cost is:

2 million x 5 + 2.5 million x 3 + 3.5 million x 2 = 10 + 7.5 + 7 = $24.5 million.

Answer: D

Scott Woodbury-Stewart
Founder and CEO
[email protected]