Arithmetic

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swerve: Legendary Member; Posts: 2604; Joined: Sun Oct 29, 2017 2:04 pmFollowed by: 6 members

by swerve » Wed Apr 01, 2020 7:45 am

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The table above shows the cost, in dollars, of traveling to and from cities A, B, C, D, E, and F. A sales representative wants to leave A, travel to C, E, and F, and return to A. If the first city that the sales representative travels to must be E, what is the minimum possible cost for the entire trip?

A. $13
B. $14
C. $16
D. $18
E. $20

The OA is C

Source: GMAT Prep

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Source: Beat The GMAT — Problem Solving | Wed Apr 01, 2020 7:45 am

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8246; Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members; Location: Los Angeles, CA; Thanked: 43 times

Re: Arithmetic

by Scott@TargetTestPrep » Fri Apr 03, 2020 7:47 am

swerve wrote: ↑
Wed Apr 01, 2020 7:45 am
Untitled-1.jpg

The table above shows the cost, in dollars, of traveling to and from cities A, B, C, D, E, and F. A sales representative wants to leave A, travel to C, E, and F, and return to A. If the first city that the sales representative travels to must be E, what is the minimum possible cost for the entire trip?

A. $13
B. $14
C. $16
D. $18
E. $20

The OA is C

Source: GMAT Prep

The sales representative has two options: 1) A-E-C-F-A and 2) A-E-F-C-A. Now let’s compare the costs of these two options:

Option 1: A-E-C-F-A

From A to E the cost is 7 dollars. From E to C it’s 2 dollars. From C to F it’s 4 dollars. From F to A it’s 3 dollars. The total spent is 16 dollars.

Option 2: A-E-F-C-A

From A to E the cost is 7 dollars. From E to F it’s 6 dollars. From F to C it’s 4 dollars. From C to A it’s 3 dollars. The total spend is 20 dollars.

We see that option 1 is cheaper, and the cost is 16 dollars.

Answer: C

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