A certain company charges $6 per package to ship packages

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

A certain company charges $6 per package to ship packages

by AAPL » Wed Dec 19, 2018 3:11 am

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A certain company charges $6 per package to ship packages weighing less than 2 pounds each. For a package weighing 2 pounds or more, the company charges an initial fee of $6 plus $2 per pound. If the company charged $38 to ship a certain package, which of the following was the weight of the package, in pounds?

A. 16
B. 17
C. 19
D. 20
E. 22

OA A

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Source: Beat The GMAT — Problem Solving | Wed Dec 19, 2018 3:11 am

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Brent@GMATPrepNow: GMAT Instructor; Posts: 16207; Joined: Mon Dec 08, 2008 6:26 pm; Location: Vancouver, BC; Thanked: 5254 times; Followed by:1268 members; GMAT Score:770

by Brent@GMATPrepNow » Wed Dec 19, 2018 6:14 am

AAPL wrote:A certain company charges $6 per package to ship packages weighing less than 2 pounds each. For a package weighing 2 pounds or more, the company charges an initial fee of $6 plus $2 per pound. If the company charged $38 to ship a certain package, which of the following was the weight of the package, in pounds?

A. 16
B. 17
C. 19
D. 20
E. 22

OA A

Let x = the weight of the package (in pounds)
So, the shipping cost = $6 + 2x

We're told the shipping cost is $38.
So, we can write: 6 + 2x = 38
Subtract 6 from both sides: 2x = 32
Solve: x = 32/2 = 16

Answer: A

Cheers,
Brent

Brent Hanneson - Creator of GMATPrepNow.com

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[email protected]: Elite Legendary Member; Posts: 10392; Joined: Sun Jun 23, 2013 6:38 pm; Location: Palo Alto, CA; Thanked: 2867 times; Followed by:511 members; GMAT Score:800

by [email protected] » Thu Dec 20, 2018 7:47 am

Hi All,

We're told that a certain company charges $6 per package to ship packages weighing less than 2 pounds each. However, for a package weighing 2 pounds or more, the company charges an initial fee of $6 plus $2 per pound. We're told that a certain package cost $38 to ship. We're asked for the weight, in pounds, of that package. This question can be solved by TESTing THE ANSWERS.

Let's TEST Answer B: 17 pounds

According to the pricing 'rules' a 17 pound package would cost $6 + 17($2) = $40. This is TOO EXPENSIVE. Thus, the package must weigh LESS than 17 pounds. There's only one answer that fits...

Final Answer: A

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

Contact Rich at [email protected]

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8086; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

by Scott@TargetTestPrep » Sun Feb 24, 2019 5:35 am

AAPL wrote:GMAT Prep

A certain company charges $6 per package to ship packages weighing less than 2 pounds each. For a package weighing 2 pounds or more, the company charges an initial fee of $6 plus $2 per pound. If the company charged $38 to ship a certain package, which of the following was the weight of the package, in pounds?

A. 16
B. 17
C. 19
D. 20
E. 22

OA A