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phoenix9801: Master | Next Rank: 500 Posts; Posts: 190; Joined: Thu Jan 14, 2010 8:29 pm; Thanked: 2 times

by phoenix9801 » Thu May 31, 2012 7:56 am

A delivery service has 12 shipments. Four of these shipments each consists of 14 boxes while each of 6 other shipments consists of 17 boxes each. If the remaining shipments total 34 boxes, what is the average (arithmetic mean) number of boxes per shipment for these 12 shipments?

A) 5 1/2
B) 15 5/6
C) 16
D) 17 3/11
E) 21

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Source: Beat The GMAT — Problem Solving | Thu May 31, 2012 7:56 am

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Anurag@Gurome: GMAT Instructor; Posts: 3835; Joined: Fri Apr 02, 2010 10:00 pmFollowed by: 523 members; Location: Milpitas, CA; Thanked: 1854 times; GMAT Score:770

by Anurag@Gurome » Thu May 31, 2012 8:27 am

phoenix9801 wrote:A delivery service has 12 shipments. Four of these shipments each consists of 14 boxes while each of 6 other shipments consists of 17 boxes each. If the remaining shipments total 34 boxes, what is the average (arithmetic mean) number of boxes per shipment for these 12 shipments?

Total number of shipments = 12

4 shipments each consists of 14 boxes ---> Total number of boxes = 4*14 = 56
6 shipments each consists of 17 boxes ---> Total number of boxes = 6*17 = 102
Total number of boxes in remaining shipments = 34

Hence, total number of boxes in all shipments = (56 + 102 + 34) = 192

Therefore, average number of boxes per shipment = (Total number of boxes in all shipments)/(Total number of shipments) = 192/12 = 16

The correct answer is C.

Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)

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