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The cost to ship a series of identical packages through

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by AAPL » Wed Aug 01, 2018 5:57 am

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Answers

A

B

C

D

E

Stats

Difficulty—

The cost to ship a series of identical packages through Alpha Shipper Company is $40 for the first 10 packages and $6 for each additional package after the tenth package. Did an online retailer who only uses Alpha Shipper Company for shipping ship more than 35 packages on Monday?

(1) If 4 additional packages were shipped, then the retailer would have spent at least $220 on shipping on Monday.
(2) The average price of the packages shipped on Monday was $5.50.

The OA is D.

From statement 1:
40 + 6(x + 4 - 10) = 220. Clearly sufficient, can solve for x.

From statement 2:
Taking the weighted average (40 + 6*x)/(x + 10) = 5.5. Sufficient, no need to solve.

Hence, the correct answer is D.

Has anyone another approach to solving this DS question? Regards!
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Source: — Data Sufficiency |

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by Jay@ManhattanReview » Thu Aug 02, 2018 12:43 am
AAPL wrote:The cost to ship a series of identical packages through Alpha Shipper Company is $40 for the first 10 packages and $6 for each additional package after the tenth package. Did an online retailer who only uses Alpha Shipper Company for shipping ship more than 35 packages on Monday?

(1) If 4 additional packages were shipped, then the retailer would have spent at least $220 on shipping on Monday.
(2) The average price of the packages shipped on Monday was $5.50.

The OA is D.

From statement 1:
40 + 6(x + 4 - 10) = 220. Clearly sufficient, can solve for x.

From statement 2:
Taking the weighted average (40 + 6*x)/(x + 10) = 5.5. Sufficient, no need to solve.

Hence, the correct answer is D.

Has anyone another approach to solving this DS question? Regards!
Two things to correct...

1. For Statement 1, you put an equality sign; it should be greater than equal to sign.

40 + 6(x + 4 - 10) ≥ 220

=> x ≥ 36, which is greater than 35. So the answer is yes. Sufficient.

2. In Statement 1, you assumed x = total number of packages, while in Statement 2, you assumed x = additional number of packages

So, as per the equation, (40 + 6*x)/(x + 10) = 5.5, the value of x = 30, which is less than 35; however, it should be compared to 30 + 10 = 40, which is greater than 35. So the answer is yes again. Sufficient.

Hope this helps!

-Jay
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